\documentclass[8pt]{article}
\usepackage{amsmath,amssymb,amsfonts}
\begin{document}
Initial Dictionary 

\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{8}   &  56.0 & -8.00 x_{1} & -4.00 x_{2} & -6.00 x_{3} & -1.00 x_{4} & -7.00 x_{5} & +  9.00 x_{6} & -7.00 x_{7}\\
 x_{9}   &  -7.0 & +  1.00 x_{1} & +  7.00 x_{2} & -3.00 x_{3} & +  7.00 x_{4} & -3.00 x_{5} & -5.00 x_{6} & +  2.00 x_{7}\\
 x_{10}   &  -6.0 & -2.00 x_{1} & +  5.00 x_{2} & -10.00 x_{3} & +  1.00 x_{4} & +  5.00 x_{5} &   & +  5.00 x_{7}\\
 x_{11}   &  13.0 & -7.00 x_{1} & +  2.00 x_{2} & +  9.00 x_{3} & +  6.00 x_{4} & -8.00 x_{5} & +  1.00 x_{6} & +  5.00 x_{7}\\
 x_{12}   &  -2.0 & +  9.00 x_{1} & -2.00 x_{2} & -3.00 x_{3} & -4.00 x_{4} & -2.00 x_{5} & +  5.00 x_{6} & +  3.00 x_{7}\\
\hline
z    &  0.0  &   & -1.00 x_{2} & +  2.00 x_{3} &   & -2.00 x_{5} & -2.00 x_{6} &   \\
\end{array}\]
\subsection{Initialization Phase: Dual Problem Solving}
New Objective in primal was changed to : \[ \max\ \sum_{j=1}^{7}\ - x_j \] 
Primal variable $x_j$ corresponds to dual variable $y_j$ for $j = 1,\ldots,12$
Dual Dictionary (with objective changed is): 
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 y_{1}   &  1.0 & +  8.00 y_{8} & -1.00 y_{9} & +  2.00 y_{10} & +  7.00 y_{11} & -9.00 y_{12}\\
 y_{2}   &  1.0 & +  4.00 y_{8} & -7.00 y_{9} & -5.00 y_{10} & -2.00 y_{11} & +  2.00 y_{12}\\
 y_{3}   &  1.0 & +  6.00 y_{8} & +  3.00 y_{9} & + 10.00 y_{10} & -9.00 y_{11} & +  3.00 y_{12}\\
 y_{4}   &  1.0 & +  1.00 y_{8} & -7.00 y_{9} & -1.00 y_{10} & -6.00 y_{11} & +  4.00 y_{12}\\
 y_{5}   &  1.0 & +  7.00 y_{8} & +  3.00 y_{9} & -5.00 y_{10} & +  8.00 y_{11} & +  2.00 y_{12}\\
 y_{6}   &  1.0 & -9.00 y_{8} & +  5.00 y_{9} &   & -1.00 y_{11} & -5.00 y_{12}\\
 y_{7}   &  1.0 & +  7.00 y_{8} & -2.00 y_{9} & -5.00 y_{10} & -5.00 y_{11} & -3.00 y_{12}\\
\hline
z    &  -0 & -56.00 y_{8} & +  7.00 y_{9} & +  6.00 y_{10} & -13.00 y_{11} & +  2.00 y_{12}\\
\end{array}\]
Initialization succeeded in finding final dual dictionary with 5 pivots
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 y_{5}   &  1.16666666667 & +  6.90 y_{8} & -0.70 y_{2} & -0.83 y_{1} & + 19.27 y_{11} & +  1.37 y_{7}\\
 y_{9}   &  0.116666666667 & +  0.39 y_{8} & -0.17 y_{2} & -0.08 y_{1} & +  0.93 y_{11} & +  0.14 y_{7}\\
 y_{3}   &  2.53333333333 & + 16.64 y_{8} & +  0.08 y_{2} & +  0.33 y_{1} & -20.91 y_{11} & -1.95 y_{7}\\
 y_{4}   &  0.566666666667 & +  1.58 y_{8} & +  1.26 y_{2} & +  0.17 y_{1} & -9.61 y_{11} & -0.99 y_{7}\\
 y_{10}   &  0.0833333333333 & +  0.65 y_{8} & +  0.05 y_{2} & +  0.08 y_{1} & -1.57 y_{11} & -0.22 y_{7}\\
 y_{6}   &  1.0 & -12.00 y_{8} & -1.00 y_{2} & -0.00 y_{1} & +  2.00 y_{11} & +  1.00 y_{7}\\
 y_{12}   &  0.116666666667 & +  0.99 y_{8} & +  0.03 y_{2} & -0.08 y_{1} & +  0.33 y_{11} & -0.06 y_{7}\\
\hline
z    &  1.55 & -47.39 y_{8} & -0.83 y_{2} & -0.25 y_{1} & -15.26 y_{11} & -0.47 y_{7}\\
\end{array}\]
Primal Dictionary is:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{8}   &  47.39 & -6.90 x_{5} & -0.39 x_{9} & -16.64 x_{3} & -1.58 x_{4} & -0.65 x_{10} & + 12.00 x_{6} & -0.99 x_{12}\\
 x_{2}   &  0.83 & +  0.70 x_{5} & +  0.17 x_{9} & -0.08 x_{3} & -1.26 x_{4} & -0.05 x_{10} & +  1.00 x_{6} & -0.03 x_{12}\\
 x_{1}   &  0.25 & +  0.83 x_{5} & +  0.08 x_{9} & -0.33 x_{3} & -0.17 x_{4} & -0.08 x_{10} & +  0.00 x_{6} & +  0.08 x_{12}\\
 x_{11}   &  15.26 & -19.27 x_{5} & -0.93 x_{9} & + 20.91 x_{3} & +  9.61 x_{4} & +  1.57 x_{10} & -2.00 x_{6} & -0.33 x_{12}\\
 x_{7}   &  0.47 & -1.37 x_{5} & -0.14 x_{9} & +  1.95 x_{3} & +  0.99 x_{4} & +  0.22 x_{10} & -1.00 x_{6} & +  0.06 x_{12}\\
\hline
z    &  -1.55 & -1.17 x_{5} & -0.12 x_{9} & -2.53 x_{3} & -0.57 x_{4} & -0.08 x_{10} & -1.00 x_{6} & -0.12 x_{12}\\
\end{array}\]
Primal Dictionary with original objective is:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{8}   &  47.39 & -6.90 x_{5} & -0.39 x_{9} & -16.64 x_{3} & -1.58 x_{4} & -0.65 x_{10} & + 12.00 x_{6} & -0.99 x_{12}\\
 x_{2}   &  0.83 & +  0.70 x_{5} & +  0.17 x_{9} & -0.08 x_{3} & -1.26 x_{4} & -0.05 x_{10} & +  1.00 x_{6} & -0.03 x_{12}\\
 x_{1}   &  0.25 & +  0.83 x_{5} & +  0.08 x_{9} & -0.33 x_{3} & -0.17 x_{4} & -0.08 x_{10} & +  0.00 x_{6} & +  0.08 x_{12}\\
 x_{11}   &  15.26 & -19.27 x_{5} & -0.93 x_{9} & + 20.91 x_{3} & +  9.61 x_{4} & +  1.57 x_{10} & -2.00 x_{6} & -0.33 x_{12}\\
 x_{7}   &  0.47 & -1.37 x_{5} & -0.14 x_{9} & +  1.95 x_{3} & +  0.99 x_{4} & +  0.22 x_{10} & -1.00 x_{6} & +  0.06 x_{12}\\
\hline
z    &  -0.83 & -2.70 x_{5} & -0.17 x_{9} & +  2.08 x_{3} & +  1.26 x_{4} & +  0.05 x_{10} & -3.00 x_{6} & +  0.03 x_{12}\\
\end{array}\]


 $ x_{3} $ enters and $ x_{1} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{8}   &  34.91 & -48.50 x_{5} & -4.55 x_{9} & + 49.92 x_{1} & +  6.74 x_{4} & +  3.51 x_{10} & + 12.00 x_{6} & -5.15 x_{12}\\
 x_{2}   &  0.77 & +  0.50 x_{5} & +  0.15 x_{9} & +  0.24 x_{1} & -1.22 x_{4} & -0.03 x_{10} & +  1.00 x_{6} & -0.05 x_{12}\\
 x_{3}   &  0.75 & +  2.50 x_{5} & +  0.25 x_{9} & -3.00 x_{1} & -0.50 x_{4} & -0.25 x_{10} & +  0.00 x_{6} & +  0.25 x_{12}\\
 x_{11}   &  30.94 & + 33.00 x_{5} & +  4.30 x_{9} & -62.72 x_{1} & -0.84 x_{4} & -3.66 x_{10} & -2.00 x_{6} & +  4.90 x_{12}\\
 x_{7}   &  1.93 & +  3.50 x_{5} & +  0.35 x_{9} & -5.84 x_{1} & +  0.02 x_{4} & -0.27 x_{10} & -1.00 x_{6} & +  0.55 x_{12}\\
\hline
z    &  0.73 & +  2.50 x_{5} & +  0.35 x_{9} & -6.24 x_{1} & +  0.22 x_{4} & -0.47 x_{10} & -3.00 x_{6} & +  0.55 x_{12}\\
\end{array}\]


 $ x_{4} $ enters and $ x_{2} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{8}   &  39.1639344262 & -45.74 x_{5} & -3.72 x_{9} & + 51.25 x_{1} & -5.52 x_{2} & +  3.34 x_{10} & + 17.52 x_{6} & -5.43 x_{12}\\
 x_{4}   &  0.631147540984 & +  0.41 x_{5} & +  0.12 x_{9} & +  0.20 x_{1} & -0.82 x_{2} & -0.02 x_{10} & +  0.82 x_{6} & -0.04 x_{12}\\
 x_{3}   &  0.434426229508 & +  2.30 x_{5} & +  0.19 x_{9} & -3.10 x_{1} & +  0.41 x_{2} & -0.24 x_{10} & -0.41 x_{6} & +  0.27 x_{12}\\
 x_{11}   &  30.4098360656 & + 32.66 x_{5} & +  4.20 x_{9} & -62.89 x_{1} & +  0.69 x_{2} & -3.64 x_{10} & -2.69 x_{6} & +  4.93 x_{12}\\
 x_{7}   &  1.94262295082 & +  3.51 x_{5} & +  0.35 x_{9} & -5.84 x_{1} & -0.02 x_{2} & -0.27 x_{10} & -0.98 x_{6} & +  0.55 x_{12}\\
\hline
z    &  0.868852459016 & +  2.59 x_{5} & +  0.38 x_{9} & -6.20 x_{1} & -0.18 x_{2} & -0.48 x_{10} & -2.82 x_{6} & +  0.54 x_{12}\\
\end{array}\]


 $ x_{5} $ enters and $ x_{8} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{5}   &  0.856272401434 & -0.02 x_{8} & -0.08 x_{9} & +  1.12 x_{1} & -0.12 x_{2} & +  0.07 x_{10} & +  0.38 x_{6} & -0.12 x_{12}\\
 x_{4}   &  0.982078853047 & -0.01 x_{8} & +  0.09 x_{9} & +  0.66 x_{1} & -0.87 x_{2} & +  0.01 x_{10} & +  0.98 x_{6} & -0.09 x_{12}\\
 x_{3}   &  2.39964157706 & -0.05 x_{8} & +  0.00 x_{9} & -0.53 x_{1} & +  0.13 x_{2} & -0.07 x_{10} & +  0.47 x_{6} & -0.00 x_{12}\\
 x_{11}   &  58.3720430108 & -0.71 x_{8} & +  1.54 x_{9} & -26.30 x_{1} & -3.26 x_{2} & -1.25 x_{10} & +  9.82 x_{6} & +  1.06 x_{12}\\
 x_{7}   &  4.94659498208 & -0.08 x_{8} & +  0.07 x_{9} & -1.91 x_{1} & -0.44 x_{2} & -0.01 x_{10} & +  0.36 x_{6} & +  0.13 x_{12}\\
\hline
z    &  3.08673835125 & -0.06 x_{8} & +  0.17 x_{9} & -3.29 x_{1} & -0.49 x_{2} & -0.29 x_{10} & -1.83 x_{6} & +  0.23 x_{12}\\
\end{array}\]


 $ x_{9} $ enters and $ x_{5} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{9}   &  10.5242290749 & -0.27 x_{8} & -12.29 x_{5} & + 13.77 x_{1} & -1.48 x_{2} & +  0.90 x_{10} & +  4.71 x_{6} & -1.46 x_{12}\\
 x_{4}   &  1.92511013216 & -0.03 x_{8} & -1.10 x_{5} & +  1.89 x_{1} & -1.00 x_{2} & +  0.09 x_{10} & +  1.40 x_{6} & -0.22 x_{12}\\
 x_{3}   &  2.41850220264 & -0.05 x_{8} & -0.02 x_{5} & -0.50 x_{1} & +  0.13 x_{2} & -0.07 x_{10} & +  0.48 x_{6} & -0.00 x_{12}\\
 x_{11}   &  74.577092511 & -1.13 x_{8} & -18.93 x_{5} & -5.09 x_{1} & -5.54 x_{2} & +  0.13 x_{10} & + 17.07 x_{6} & -1.19 x_{12}\\
 x_{7}   &  5.65198237885 & -0.09 x_{8} & -0.82 x_{5} & -0.98 x_{1} & -0.54 x_{2} & +  0.05 x_{10} & +  0.68 x_{6} & +  0.04 x_{12}\\
\hline
z    &  4.83700440529 & -0.10 x_{8} & -2.04 x_{5} & -1.00 x_{1} & -0.74 x_{2} & -0.14 x_{10} & -1.04 x_{6} & -0.01 x_{12}\\
\end{array}\]
Final Dictionary
Final dictionary after first LP relaxation solve: 

\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{9}   &  10.5242290749 & -0.27 x_{8} & -12.29 x_{5} & + 13.77 x_{1} & -1.48 x_{2} & +  0.90 x_{10} & +  4.71 x_{6} & -1.46 x_{12}\\
 x_{4}   &  1.92511013216 & -0.03 x_{8} & -1.10 x_{5} & +  1.89 x_{1} & -1.00 x_{2} & +  0.09 x_{10} & +  1.40 x_{6} & -0.22 x_{12}\\
 x_{3}   &  2.41850220264 & -0.05 x_{8} & -0.02 x_{5} & -0.50 x_{1} & +  0.13 x_{2} & -0.07 x_{10} & +  0.48 x_{6} & -0.00 x_{12}\\
 x_{11}   &  74.577092511 & -1.13 x_{8} & -18.93 x_{5} & -5.09 x_{1} & -5.54 x_{2} & +  0.13 x_{10} & + 17.07 x_{6} & -1.19 x_{12}\\
 x_{7}   &  5.65198237885 & -0.09 x_{8} & -0.82 x_{5} & -0.98 x_{1} & -0.54 x_{2} & +  0.05 x_{10} & +  0.68 x_{6} & +  0.04 x_{12}\\
\hline
z    &  4.83700440529 & -0.10 x_{8} & -2.04 x_{5} & -1.00 x_{1} & -0.74 x_{2} & -0.14 x_{10} & -1.04 x_{6} & -0.01 x_{12}\\
\end{array}\]
 After cutting plane is added 
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{9}   &  10.5242290749 & -0.27 x_{8} & -12.29 x_{5} & + 13.77 x_{1} & -1.48 x_{2} & +  0.90 x_{10} & +  4.71 x_{6} & -1.46 x_{12}\\
 x_{4}   &  1.92511013216 & -0.03 x_{8} & -1.10 x_{5} & +  1.89 x_{1} & -1.00 x_{2} & +  0.09 x_{10} & +  1.40 x_{6} & -0.22 x_{12}\\
 x_{3}   &  2.41850220264 & -0.05 x_{8} & -0.02 x_{5} & -0.50 x_{1} & +  0.13 x_{2} & -0.07 x_{10} & +  0.48 x_{6} & -0.00 x_{12}\\
 x_{11}   &  74.577092511 & -1.13 x_{8} & -18.93 x_{5} & -5.09 x_{1} & -5.54 x_{2} & +  0.13 x_{10} & + 17.07 x_{6} & -1.19 x_{12}\\
 x_{7}   &  5.65198237885 & -0.09 x_{8} & -0.82 x_{5} & -0.98 x_{1} & -0.54 x_{2} & +  0.05 x_{10} & +  0.68 x_{6} & +  0.04 x_{12}\\
 x_{13}   &  -0.52422907489 & +  0.27 x_{8} & +  0.29 x_{5} & +  0.23 x_{1} & +  0.48 x_{2} & +  0.10 x_{10} & +  0.29 x_{6} & +  0.46 x_{12}\\
 x_{14}   &  -0.925110132159 & +  0.03 x_{8} & +  0.10 x_{5} & +  0.11 x_{1} & +  0.00 x_{2} & +  0.91 x_{10} & +  0.60 x_{6} & +  0.22 x_{12}\\
 x_{15}   &  -0.418502202643 & +  0.05 x_{8} & +  0.02 x_{5} & +  0.50 x_{1} & +  0.87 x_{2} & +  0.07 x_{10} & +  0.52 x_{6} & +  0.00 x_{12}\\
 x_{16}   &  -0.577092511013 & +  0.13 x_{8} & +  0.93 x_{5} & +  0.09 x_{1} & +  0.54 x_{2} & +  0.87 x_{10} & +  0.93 x_{6} & +  0.19 x_{12}\\
 x_{17}   &  -0.651982378855 & +  0.09 x_{8} & +  0.82 x_{5} & +  0.98 x_{1} & +  0.54 x_{2} & +  0.95 x_{10} & +  0.32 x_{6} & +  0.96 x_{12}\\
\hline
z    &  4.83700440529 & -0.10 x_{8} & -2.04 x_{5} & -1.00 x_{1} & -0.74 x_{2} & -0.14 x_{10} & -1.04 x_{6} & -0.01 x_{12}\\
\end{array}\]
Forming the dual dictionary:

The Final Dual Dictionary is: 

 Final primal dictionary obtained: 
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{9}   &  3.72413793103 & +  0.03 x_{8} & -11.59 x_{5} & + 15.34 x_{1} & -1.69 x_{15} & +  7.03 x_{10} & +  9.55 x_{6} & -6.59 x_{14}\\
 x_{4}   &  0.540229885057 & +  0.06 x_{8} & -0.98 x_{5} & +  2.57 x_{1} & -1.15 x_{15} & +  1.06 x_{10} & +  2.59 x_{6} & -0.98 x_{14}\\
 x_{3}   &  2.45977011494 & -0.06 x_{8} & -0.02 x_{5} & -0.57 x_{1} & +  0.15 x_{15} & -0.06 x_{10} & +  0.41 x_{6} & -0.02 x_{14}\\
 x_{11}   &  67.0574712644 & -0.63 x_{8} & -18.25 x_{5} & -1.32 x_{1} & -6.36 x_{15} & +  5.37 x_{10} & + 23.55 x_{6} & -5.25 x_{14}\\
 x_{7}   &  5.55172413793 & -0.07 x_{8} & -0.83 x_{5} & -0.69 x_{1} & -0.62 x_{15} & -0.07 x_{10} & +  0.90 x_{6} & +  0.17 x_{14}\\
 x_{12}   &  4.19540229885 & -0.15 x_{8} & -0.46 x_{5} & -0.49 x_{1} & -0.01 x_{15} & -4.15 x_{10} & -2.72 x_{6} & +  4.54 x_{14}\\
 x_{13}   &  1.62068965517 & +  0.17 x_{8} & +  0.07 x_{5} & -0.28 x_{1} & +  0.55 x_{15} & -1.83 x_{10} & -1.24 x_{6} & +  2.07 x_{14}\\
 x_{2}   &  0.459770114943 & -0.06 x_{8} & -0.02 x_{5} & -0.57 x_{1} & +  1.15 x_{15} & -0.06 x_{10} & -0.59 x_{6} & -0.02 x_{14}\\
 x_{16}   &  0.448275862069 & +  0.07 x_{8} & +  0.83 x_{5} & -0.31 x_{1} & +  0.62 x_{15} & +  0.07 x_{10} & +  0.10 x_{6} & +  0.83 x_{14}\\
 x_{17}   &  3.64367816092 & -0.08 x_{8} & +  0.37 x_{5} & +  0.20 x_{1} & +  0.61 x_{15} & -3.08 x_{10} & -2.62 x_{6} & +  4.37 x_{14}\\
\hline
z    &  4.45977011494 & -0.06 x_{8} & -2.02 x_{5} & -0.57 x_{1} & -0.85 x_{15} & -0.06 x_{10} & -0.59 x_{6} & -0.02 x_{14}\\
\end{array}\]
 After cutting plane is added 
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{9}   &  3.72413793103 & +  0.03 x_{8} & -11.59 x_{5} & + 15.34 x_{1} & -1.69 x_{15} & +  7.03 x_{10} & +  9.55 x_{6} & -6.59 x_{14}\\
 x_{4}   &  0.540229885057 & +  0.06 x_{8} & -0.98 x_{5} & +  2.57 x_{1} & -1.15 x_{15} & +  1.06 x_{10} & +  2.59 x_{6} & -0.98 x_{14}\\
 x_{3}   &  2.45977011494 & -0.06 x_{8} & -0.02 x_{5} & -0.57 x_{1} & +  0.15 x_{15} & -0.06 x_{10} & +  0.41 x_{6} & -0.02 x_{14}\\
 x_{11}   &  67.0574712644 & -0.63 x_{8} & -18.25 x_{5} & -1.32 x_{1} & -6.36 x_{15} & +  5.37 x_{10} & + 23.55 x_{6} & -5.25 x_{14}\\
 x_{7}   &  5.55172413793 & -0.07 x_{8} & -0.83 x_{5} & -0.69 x_{1} & -0.62 x_{15} & -0.07 x_{10} & +  0.90 x_{6} & +  0.17 x_{14}\\
 x_{12}   &  4.19540229885 & -0.15 x_{8} & -0.46 x_{5} & -0.49 x_{1} & -0.01 x_{15} & -4.15 x_{10} & -2.72 x_{6} & +  4.54 x_{14}\\
 x_{13}   &  1.62068965517 & +  0.17 x_{8} & +  0.07 x_{5} & -0.28 x_{1} & +  0.55 x_{15} & -1.83 x_{10} & -1.24 x_{6} & +  2.07 x_{14}\\
 x_{2}   &  0.459770114943 & -0.06 x_{8} & -0.02 x_{5} & -0.57 x_{1} & +  1.15 x_{15} & -0.06 x_{10} & -0.59 x_{6} & -0.02 x_{14}\\
 x_{16}   &  0.448275862069 & +  0.07 x_{8} & +  0.83 x_{5} & -0.31 x_{1} & +  0.62 x_{15} & +  0.07 x_{10} & +  0.10 x_{6} & +  0.83 x_{14}\\
 x_{17}   &  3.64367816092 & -0.08 x_{8} & +  0.37 x_{5} & +  0.20 x_{1} & +  0.61 x_{15} & -3.08 x_{10} & -2.62 x_{6} & +  4.37 x_{14}\\
 x_{18}   &  -0.724137931034 & +  0.97 x_{8} & +  0.59 x_{5} & +  0.66 x_{1} & +  0.69 x_{15} & +  0.97 x_{10} & +  0.45 x_{6} & +  0.59 x_{14}\\
 x_{19}   &  -0.540229885057 & +  0.94 x_{8} & +  0.98 x_{5} & +  0.43 x_{1} & +  0.15 x_{15} & +  0.94 x_{10} & +  0.41 x_{6} & +  0.98 x_{14}\\
 x_{20}   &  -0.459770114943 & +  0.06 x_{8} & +  0.02 x_{5} & +  0.57 x_{1} & +  0.85 x_{15} & +  0.06 x_{10} & +  0.59 x_{6} & +  0.02 x_{14}\\
 x_{21}   &  -0.0574712643678 & +  0.63 x_{8} & +  0.25 x_{5} & +  0.32 x_{1} & +  0.36 x_{15} & +  0.63 x_{10} & +  0.45 x_{6} & +  0.25 x_{14}\\
 x_{22}   &  -0.551724137931 & +  0.07 x_{8} & +  0.83 x_{5} & +  0.69 x_{1} & +  0.62 x_{15} & +  0.07 x_{10} & +  0.10 x_{6} & +  0.83 x_{14}\\
 x_{23}   &  -0.195402298851 & +  0.15 x_{8} & +  0.46 x_{5} & +  0.49 x_{1} & +  0.01 x_{15} & +  0.15 x_{10} & +  0.72 x_{6} & +  0.46 x_{14}\\
 x_{24}   &  -0.620689655172 & +  0.83 x_{8} & +  0.93 x_{5} & +  0.28 x_{1} & +  0.45 x_{15} & +  0.83 x_{10} & +  0.24 x_{6} & +  0.93 x_{14}\\
 x_{25}   &  -0.459770114943 & +  0.06 x_{8} & +  0.02 x_{5} & +  0.57 x_{1} & +  0.85 x_{15} & +  0.06 x_{10} & +  0.59 x_{6} & +  0.02 x_{14}\\
 x_{26}   &  -0.448275862069 & +  0.93 x_{8} & +  0.17 x_{5} & +  0.31 x_{1} & +  0.38 x_{15} & +  0.93 x_{10} & +  0.90 x_{6} & +  0.17 x_{14}\\
 x_{27}   &  -0.64367816092 & +  0.08 x_{8} & +  0.63 x_{5} & +  0.80 x_{1} & +  0.39 x_{15} & +  0.08 x_{10} & +  0.62 x_{6} & +  0.63 x_{14}\\
\hline
z    &  4.45977011494 & -0.06 x_{8} & -2.02 x_{5} & -0.57 x_{1} & -0.85 x_{15} & -0.06 x_{10} & -0.59 x_{6} & -0.02 x_{14}\\
\end{array}\]
Forming the dual dictionary:

The Final Dual Dictionary is: 

 Final primal dictionary obtained: 
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{4}   &  1.86206896552 & +  1.55 x_{8} & +  0.00 x_{5} & +  5.86 x_{20} & -4.83 x_{15} & +  0.45 x_{1} & +  2.55 x_{10} & -1.90 x_{18}\\
 x_{6}   &  0.758620689655 & -0.03 x_{8} & +  0.00 x_{5} & +  1.76 x_{20} & -1.45 x_{15} & -0.97 x_{1} & -0.03 x_{10} & -0.07 x_{18}\\
 x_{3}   &  2.75862068966 & -0.03 x_{8} & +  0.00 x_{5} & +  0.76 x_{20} & -0.45 x_{15} & -0.97 x_{1} & -0.03 x_{10} & -0.07 x_{18}\\
 x_{11}   &  81.4827586207 & +  7.07 x_{8} & -13.00 x_{5} & + 48.48 x_{20} & -40.10 x_{15} & -22.07 x_{1} & + 13.07 x_{10} & -10.86 x_{18}\\
 x_{7}   &  6.34482758621 & -0.38 x_{8} & -1.00 x_{5} & +  1.34 x_{20} & -1.93 x_{15} & -1.62 x_{1} & -0.38 x_{10} & +  0.24 x_{18}\\
 x_{12}   &  5.10344827586 & -7.41 x_{8} & -5.00 x_{5} & -10.90 x_{20} & +  3.62 x_{15} & +  0.41 x_{1} & -11.41 x_{10} & +  8.17 x_{18}\\
 x_{13}   &  2.03448275862 & -3.14 x_{8} & -2.00 x_{5} & -4.97 x_{20} & +  2.21 x_{15} & +  0.14 x_{1} & -5.14 x_{10} & +  3.72 x_{18}\\
 x_{2}   &  -3.61779571818e-16 & +  0.00 x_{8} & -0.00 x_{5} & -1.00 x_{20} & +  2.00 x_{15} & +  0.00 x_{1} & +  0.00 x_{10} & +  0.00 x_{18}\\
 x_{16}   &  1.06896551724 & -1.28 x_{8} & +  0.00 x_{5} & -0.93 x_{20} & +  0.41 x_{15} & -0.72 x_{1} & -1.28 x_{10} & +  1.45 x_{18}\\
 x_{17}   &  4.51724137931 & -7.07 x_{8} & -4.00 x_{5} & -10.48 x_{20} & +  4.10 x_{15} & +  1.07 x_{1} & -10.07 x_{10} & +  7.86 x_{18}\\
 x_{14}   &  0.655172413793 & -1.62 x_{8} & -1.00 x_{5} & -1.34 x_{20} & -0.07 x_{15} & -0.38 x_{1} & -1.62 x_{10} & +  1.76 x_{18}\\
 x_{19}   &  0.413793103448 & -0.66 x_{8} & +  0.00 x_{5} & -0.59 x_{20} & -0.52 x_{15} & -0.34 x_{1} & -0.66 x_{10} & +  1.69 x_{18}\\
 x_{9}   &  6.65517241379 & + 10.38 x_{8} & -5.00 x_{5} & + 25.66 x_{20} & -15.07 x_{15} & +  8.62 x_{1} & + 17.38 x_{10} & -12.24 x_{18}\\
 x_{21}   &  0.448275862069 & +  0.21 x_{8} & +  0.00 x_{5} & +  0.45 x_{20} & -0.31 x_{15} & -0.21 x_{1} & +  0.21 x_{10} & +  0.41 x_{18}\\
 x_{22}   &  0.0689655172414 & -1.28 x_{8} & -0.00 x_{5} & -0.93 x_{20} & +  0.41 x_{15} & +  0.28 x_{1} & -1.28 x_{10} & +  1.45 x_{18}\\
 x_{23}   &  0.655172413793 & -0.62 x_{8} & -0.00 x_{5} & +  0.66 x_{20} & -1.07 x_{15} & -0.38 x_{1} & -0.62 x_{10} & +  0.76 x_{18}\\
 x_{24}   &  0.172413793103 & -0.69 x_{8} & -0.00 x_{5} & -0.83 x_{20} & +  0.03 x_{15} & -0.31 x_{1} & -0.69 x_{10} & +  1.62 x_{18}\\
 x_{25}   &  3.61779571818e-16 & -0.00 x_{8} & +  0.00 x_{5} & +  1.00 x_{20} & -0.00 x_{15} & -0.00 x_{1} & -0.00 x_{10} & -0.00 x_{18}\\
 x_{26}   &  0.344827586207 & +  0.62 x_{8} & -0.00 x_{5} & +  1.34 x_{20} & -0.93 x_{15} & -0.62 x_{1} & +  0.62 x_{10} & +  0.24 x_{18}\\
 x_{27}   &  0.241379310345 & -0.97 x_{8} & +  0.00 x_{5} & +  0.24 x_{20} & -0.55 x_{15} & -0.03 x_{1} & -0.97 x_{10} & +  1.07 x_{18}\\
\hline
z    &  4.0 & -0.00 x_{8} & -2.00 x_{5} & -1.00 x_{20} & +  0.00 x_{15} & +  0.00 x_{1} & -0.00 x_{10} & +  0.00 x_{18}\\
\end{array}\]
 After cutting plane is added 
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{4}   &  1.86206896552 & +  1.55 x_{8} & +  0.00 x_{5} & +  5.86 x_{20} & -4.83 x_{15} & +  0.45 x_{1} & +  2.55 x_{10} & -1.90 x_{18}\\
 x_{6}   &  0.758620689655 & -0.03 x_{8} & +  0.00 x_{5} & +  1.76 x_{20} & -1.45 x_{15} & -0.97 x_{1} & -0.03 x_{10} & -0.07 x_{18}\\
 x_{3}   &  2.75862068966 & -0.03 x_{8} & +  0.00 x_{5} & +  0.76 x_{20} & -0.45 x_{15} & -0.97 x_{1} & -0.03 x_{10} & -0.07 x_{18}\\
 x_{11}   &  81.4827586207 & +  7.07 x_{8} & -13.00 x_{5} & + 48.48 x_{20} & -40.10 x_{15} & -22.07 x_{1} & + 13.07 x_{10} & -10.86 x_{18}\\
 x_{7}   &  6.34482758621 & -0.38 x_{8} & -1.00 x_{5} & +  1.34 x_{20} & -1.93 x_{15} & -1.62 x_{1} & -0.38 x_{10} & +  0.24 x_{18}\\
 x_{12}   &  5.10344827586 & -7.41 x_{8} & -5.00 x_{5} & -10.90 x_{20} & +  3.62 x_{15} & +  0.41 x_{1} & -11.41 x_{10} & +  8.17 x_{18}\\
 x_{13}   &  2.03448275862 & -3.14 x_{8} & -2.00 x_{5} & -4.97 x_{20} & +  2.21 x_{15} & +  0.14 x_{1} & -5.14 x_{10} & +  3.72 x_{18}\\
 x_{2}   &  -3.61779571818e-16 & +  0.00 x_{8} & -0.00 x_{5} & -1.00 x_{20} & +  2.00 x_{15} & +  0.00 x_{1} & +  0.00 x_{10} & +  0.00 x_{18}\\
 x_{16}   &  1.06896551724 & -1.28 x_{8} & +  0.00 x_{5} & -0.93 x_{20} & +  0.41 x_{15} & -0.72 x_{1} & -1.28 x_{10} & +  1.45 x_{18}\\
 x_{17}   &  4.51724137931 & -7.07 x_{8} & -4.00 x_{5} & -10.48 x_{20} & +  4.10 x_{15} & +  1.07 x_{1} & -10.07 x_{10} & +  7.86 x_{18}\\
 x_{14}   &  0.655172413793 & -1.62 x_{8} & -1.00 x_{5} & -1.34 x_{20} & -0.07 x_{15} & -0.38 x_{1} & -1.62 x_{10} & +  1.76 x_{18}\\
 x_{19}   &  0.413793103448 & -0.66 x_{8} & +  0.00 x_{5} & -0.59 x_{20} & -0.52 x_{15} & -0.34 x_{1} & -0.66 x_{10} & +  1.69 x_{18}\\
 x_{9}   &  6.65517241379 & + 10.38 x_{8} & -5.00 x_{5} & + 25.66 x_{20} & -15.07 x_{15} & +  8.62 x_{1} & + 17.38 x_{10} & -12.24 x_{18}\\
 x_{21}   &  0.448275862069 & +  0.21 x_{8} & +  0.00 x_{5} & +  0.45 x_{20} & -0.31 x_{15} & -0.21 x_{1} & +  0.21 x_{10} & +  0.41 x_{18}\\
 x_{22}   &  0.0689655172414 & -1.28 x_{8} & -0.00 x_{5} & -0.93 x_{20} & +  0.41 x_{15} & +  0.28 x_{1} & -1.28 x_{10} & +  1.45 x_{18}\\
 x_{23}   &  0.655172413793 & -0.62 x_{8} & -0.00 x_{5} & +  0.66 x_{20} & -1.07 x_{15} & -0.38 x_{1} & -0.62 x_{10} & +  0.76 x_{18}\\
 x_{24}   &  0.172413793103 & -0.69 x_{8} & -0.00 x_{5} & -0.83 x_{20} & +  0.03 x_{15} & -0.31 x_{1} & -0.69 x_{10} & +  1.62 x_{18}\\
 x_{25}   &  3.61779571818e-16 & -0.00 x_{8} & +  0.00 x_{5} & +  1.00 x_{20} & -0.00 x_{15} & -0.00 x_{1} & -0.00 x_{10} & -0.00 x_{18}\\
 x_{26}   &  0.344827586207 & +  0.62 x_{8} & -0.00 x_{5} & +  1.34 x_{20} & -0.93 x_{15} & -0.62 x_{1} & +  0.62 x_{10} & +  0.24 x_{18}\\
 x_{27}   &  0.241379310345 & -0.97 x_{8} & +  0.00 x_{5} & +  0.24 x_{20} & -0.55 x_{15} & -0.03 x_{1} & -0.97 x_{10} & +  1.07 x_{18}\\
 x_{28}   &  -0.862068965517 & +  0.45 x_{8} & +  1.00 x_{5} & +  0.14 x_{20} & +  0.83 x_{15} & +  0.55 x_{1} & +  0.45 x_{10} & +  0.90 x_{18}\\
 x_{29}   &  -0.758620689655 & +  0.03 x_{8} & +  1.00 x_{5} & +  0.24 x_{20} & +  0.45 x_{15} & +  0.97 x_{1} & +  0.03 x_{10} & +  0.07 x_{18}\\
 x_{30}   &  -0.758620689655 & +  0.03 x_{8} & +  1.00 x_{5} & +  0.24 x_{20} & +  0.45 x_{15} & +  0.97 x_{1} & +  0.03 x_{10} & +  0.07 x_{18}\\
 x_{31}   &  -0.48275862069 & +  0.93 x_{8} & +  1.00 x_{5} & +  0.52 x_{20} & +  0.10 x_{15} & +  0.07 x_{1} & +  0.93 x_{10} & +  0.86 x_{18}\\
 x_{32}   &  -0.344827586207 & +  0.38 x_{8} & +  1.00 x_{5} & +  0.66 x_{20} & +  0.93 x_{15} & +  0.62 x_{1} & +  0.38 x_{10} & +  0.76 x_{18}\\
 x_{33}   &  -0.103448275862 & +  0.41 x_{8} &   & +  0.90 x_{20} & +  0.38 x_{15} & +  0.59 x_{1} & +  0.41 x_{10} & +  0.83 x_{18}\\
 x_{34}   &  -0.0344827586207 & +  0.14 x_{8} &   & +  0.97 x_{20} & +  0.79 x_{15} & +  0.86 x_{1} & +  0.14 x_{10} & +  0.28 x_{18}\\
 x_{35}   &  -0.0689655172414 & +  0.28 x_{8} & +  1.00 x_{5} & +  0.93 x_{20} & +  0.59 x_{15} & +  0.72 x_{1} & +  0.28 x_{10} & +  0.55 x_{18}\\
 x_{36}   &  -0.51724137931 & +  0.07 x_{8} & +  0.00 x_{5} & +  0.48 x_{20} & +  0.90 x_{15} & +  0.93 x_{1} & +  0.07 x_{10} & +  0.14 x_{18}\\
 x_{37}   &  -0.655172413793 & +  0.62 x_{8} & +  0.00 x_{5} & +  0.34 x_{20} & +  0.07 x_{15} & +  0.38 x_{1} & +  0.62 x_{10} & +  0.24 x_{18}\\
 x_{38}   &  -0.413793103448 & +  0.66 x_{8} & +  1.00 x_{5} & +  0.59 x_{20} & +  0.52 x_{15} & +  0.34 x_{1} & +  0.66 x_{10} & +  0.31 x_{18}\\
 x_{39}   &  -0.655172413793 & +  0.62 x_{8} & +  1.00 x_{5} & +  0.34 x_{20} & +  0.07 x_{15} & +  0.38 x_{1} & +  0.62 x_{10} & +  0.24 x_{18}\\
 x_{40}   &  -0.448275862069 & +  0.79 x_{8} & +  1.00 x_{5} & +  0.55 x_{20} & +  0.31 x_{15} & +  0.21 x_{1} & +  0.79 x_{10} & +  0.59 x_{18}\\
 x_{41}   &  -0.0689655172414 & +  0.28 x_{8} & +  0.00 x_{5} & +  0.93 x_{20} & +  0.59 x_{15} & +  0.72 x_{1} & +  0.28 x_{10} & +  0.55 x_{18}\\
 x_{42}   &  -0.655172413793 & +  0.62 x_{8} & +  0.00 x_{5} & +  0.34 x_{20} & +  0.07 x_{15} & +  0.38 x_{1} & +  0.62 x_{10} & +  0.24 x_{18}\\
 x_{43}   &  -0.172413793103 & +  0.69 x_{8} & +  0.00 x_{5} & +  0.83 x_{20} & +  0.97 x_{15} & +  0.31 x_{1} & +  0.69 x_{10} & +  0.38 x_{18}\\
 x_{44}   &  -0.344827586207 & +  0.38 x_{8} & +  0.00 x_{5} & +  0.66 x_{20} & +  0.93 x_{15} & +  0.62 x_{1} & +  0.38 x_{10} & +  0.76 x_{18}\\
 x_{45}   &  -0.241379310345 & +  0.97 x_{8} & +  1.00 x_{5} & +  0.76 x_{20} & +  0.55 x_{15} & +  0.03 x_{1} & +  0.97 x_{10} & +  0.93 x_{18}\\
\hline
z    &  4.0 & -0.00 x_{8} & -2.00 x_{5} & -1.00 x_{20} & +  0.00 x_{15} & +  0.00 x_{1} & -0.00 x_{10} & +  0.00 x_{18}\\
\end{array}\]
Forming the dual dictionary:

The Final Dual Dictionary is: 

 Final primal dictionary obtained: 
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{4}   &  3.0 & -0.78 x_{22} & -1.44 x_{5} & +  1.44 x_{20} & -2.56 x_{2} & +  0.67 x_{28} & -1.00 x_{8} & -0.78 x_{14}\\
 x_{1}   &  0.75 & +  1.81 x_{22} & -1.36 x_{5} & -0.64 x_{20} & -0.39 x_{2} & -0.08 x_{28} & +  0.00 x_{8} & -1.44 x_{14}\\
 x_{3}   &  2.0 & -1.67 x_{22} & +  1.33 x_{5} & +  1.17 x_{20} & +  0.17 x_{2} & +  0.00 x_{28} & -0.00 x_{8} & +  1.33 x_{14}\\
 x_{11}   &  68.75 & -47.31 x_{22} & + 12.86 x_{5} & + 33.64 x_{20} & -11.11 x_{2} & +  4.58 x_{28} & -6.00 x_{8} & + 30.44 x_{14}\\
 x_{7}   &  5.0 & -2.67 x_{22} & +  1.33 x_{5} & +  1.67 x_{20} & -0.33 x_{2} & +  0.00 x_{28} & -0.00 x_{8} & +  2.33 x_{14}\\
 x_{15}   &  -1.11022302463e-16 & +  0.00 x_{22} & -0.00 x_{5} & +  0.50 x_{20} & +  0.50 x_{2} & +  0.00 x_{28} & +  0.00 x_{8} & +  0.00 x_{14}\\
 x_{6}   &  4.60742555219e-15 & -1.67 x_{22} & +  1.33 x_{5} & +  1.67 x_{20} & -0.33 x_{2} & +  0.00 x_{28} & -0.00 x_{8} & +  1.33 x_{14}\\
 x_{12}   &  1.75 & +  8.03 x_{22} & -1.81 x_{5} & -1.69 x_{20} & +  1.56 x_{2} & -3.42 x_{28} & +  4.00 x_{8} & -0.22 x_{14}\\
 x_{16}   &  0.25 & -0.81 x_{22} & +  1.36 x_{5} & +  0.64 x_{20} & +  0.39 x_{2} & +  0.08 x_{28} & +  0.00 x_{8} & +  1.44 x_{14}\\
 x_{17}   &  2.25 & +  7.97 x_{22} & -2.19 x_{5} & -2.31 x_{20} & +  1.44 x_{2} & -2.58 x_{28} & +  3.00 x_{8} & -0.78 x_{14}\\
 x_{10}   &  0.5 & -1.06 x_{22} & -0.39 x_{5} & -0.61 x_{20} & -0.11 x_{2} & +  0.83 x_{28} & -1.00 x_{8} & +  0.44 x_{14}\\
 x_{19}   &  0.25 & -0.92 x_{22} & +  0.58 x_{5} & -0.08 x_{20} & -0.33 x_{2} & +  0.75 x_{28} & -0.00 x_{8} & +  1.33 x_{14}\\
 x_{9}   &  18.75 & +  4.36 x_{22} & -22.47 x_{5} & +  0.97 x_{20} & -10.78 x_{2} & +  4.58 x_{28} & -7.00 x_{8} & -12.89 x_{14}\\
 x_{21}   &  0.5 & -0.83 x_{22} & +  0.17 x_{5} & +  0.33 x_{20} & -0.17 x_{2} & +  0.50 x_{28} & +  0.00 x_{8} & +  0.67 x_{14}\\
 x_{13}   &  0.5 & +  3.50 x_{22} & -0.50 x_{5} & -0.50 x_{20} & +  1.00 x_{2} & -1.50 x_{28} & +  2.00 x_{8} & +  0.00 x_{14}\\
 x_{23}   &  0.25 & -0.47 x_{22} & +  0.69 x_{5} & +  0.81 x_{20} & -0.44 x_{2} & +  0.08 x_{28} & -0.00 x_{8} & +  0.78 x_{14}\\
 x_{24}   &  1.99840144433e-15 & -0.78 x_{22} & +  0.56 x_{5} & -0.06 x_{20} & -0.06 x_{2} & +  0.67 x_{28} & -0.00 x_{8} & +  1.22 x_{14}\\
 x_{25}   &  2.77555756156e-16 & -0.00 x_{22} & +  0.00 x_{5} & +  1.00 x_{20} & +  0.00 x_{2} & +  0.00 x_{28} & -0.00 x_{8} & +  0.00 x_{14}\\
 x_{26}   &  0.25 & -1.92 x_{22} & +  0.58 x_{5} & +  0.92 x_{20} & -0.33 x_{2} & +  0.75 x_{28} & -0.00 x_{8} & +  1.33 x_{14}\\
 x_{27}   &  6.05071548421e-15 & +  0.33 x_{22} & +  0.33 x_{5} & +  0.67 x_{20} & -0.33 x_{2} & +  0.00 x_{28} & -0.00 x_{8} & +  0.33 x_{14}\\
 x_{18}   &  0.25 & -0.58 x_{22} & -0.08 x_{5} & +  0.08 x_{20} & -0.17 x_{2} & +  0.75 x_{28} & -0.00 x_{8} & +  0.67 x_{14}\\
 x_{29}   &  -4.27435864481e-15 & +  1.67 x_{22} & -0.33 x_{5} & -0.17 x_{20} & -0.17 x_{2} & -0.00 x_{28} & +  0.00 x_{8} & -1.33 x_{14}\\
 x_{30}   &  -4.27435864481e-15 & +  1.67 x_{22} & -0.33 x_{5} & -0.17 x_{20} & -0.17 x_{2} & -0.00 x_{28} & +  0.00 x_{8} & -1.33 x_{14}\\
 x_{31}   &  0.25 & -1.36 x_{22} & +  0.47 x_{5} & +  0.03 x_{20} & -0.22 x_{2} & +  1.42 x_{28} & +  0.00 x_{8} & +  0.89 x_{14}\\
 x_{32}   &  0.5 & +  0.28 x_{22} & -0.06 x_{5} & +  0.56 x_{20} & +  0.06 x_{2} & +  0.83 x_{28} & -0.00 x_{8} & -0.22 x_{14}\\
 x_{33}   &  0.75 & +  0.14 x_{22} & -1.03 x_{5} & +  0.53 x_{20} & -0.22 x_{2} & +  0.92 x_{28} & -0.00 x_{8} & -0.11 x_{14}\\
 x_{34}   &  0.75 & +  1.25 x_{22} & -1.25 x_{5} & +  0.75 x_{20} & +  0.00 x_{2} & +  0.25 x_{28} & -0.00 x_{8} & -1.00 x_{14}\\
 x_{35}   &  0.75 & +  0.69 x_{22} & -0.14 x_{5} & +  0.64 x_{20} & -0.11 x_{2} & +  0.58 x_{28} & -0.00 x_{8} & -0.56 x_{14}\\
 x_{36}   &  0.25 & +  1.53 x_{22} & -1.31 x_{5} & +  0.31 x_{20} & +  0.06 x_{2} & +  0.08 x_{28} & -0.00 x_{8} & -1.22 x_{14}\\
 x_{37}   &  -1.49324996812e-14 & -0.11 x_{22} & -0.78 x_{5} & -0.22 x_{20} & -0.22 x_{2} & +  0.67 x_{28} & -0.00 x_{8} & -0.11 x_{14}\\
 x_{38}   &  0.25 & -0.25 x_{22} & +  0.25 x_{5} & +  0.25 x_{20} & +  0.00 x_{2} & +  0.75 x_{28} & -0.00 x_{8} & -0.00 x_{14}\\
 x_{39}   &  4.79061235126e-14 & -0.11 x_{22} & +  0.22 x_{5} & -0.22 x_{20} & -0.22 x_{2} & +  0.67 x_{28} & +  0.00 x_{8} & -0.11 x_{14}\\
 x_{40}   &  0.25 & -0.81 x_{22} & +  0.36 x_{5} & +  0.14 x_{20} & -0.11 x_{2} & +  1.08 x_{28} & -0.00 x_{8} & +  0.44 x_{14}\\
 x_{41}   &  0.75 & +  0.69 x_{22} & -1.14 x_{5} & +  0.64 x_{20} & -0.11 x_{2} & +  0.58 x_{28} & -0.00 x_{8} & -0.56 x_{14}\\
 x_{42}   &  -1.60427227058e-14 & -0.11 x_{22} & -0.78 x_{5} & -0.22 x_{20} & -0.22 x_{2} & +  0.67 x_{28} & +  0.00 x_{8} & -0.11 x_{14}\\
 x_{43}   &  0.5 & -0.39 x_{22} & -0.72 x_{5} & +  0.72 x_{20} & +  0.22 x_{2} & +  0.83 x_{28} & -0.00 x_{8} & +  0.11 x_{14}\\
 x_{44}   &  0.5 & +  0.28 x_{22} & -1.06 x_{5} & +  0.56 x_{20} & +  0.06 x_{2} & +  0.83 x_{28} & +  0.00 x_{8} & -0.22 x_{14}\\
 x_{45}   &  0.5 & -1.50 x_{22} & +  0.50 x_{5} & +  0.50 x_{20} & +  0.00 x_{2} & +  1.50 x_{28} & -0.00 x_{8} & +  1.00 x_{14}\\
\hline
z    &  4.0 & +  0.00 x_{22} & -2.00 x_{5} & -1.00 x_{20} & +  0.00 x_{2} & -0.00 x_{28} & +  0.00 x_{8} & -0.00 x_{14}\\
\end{array}\]
 After cutting plane is added 
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{4}   &  3.0 & -0.78 x_{22} & -1.44 x_{5} & +  1.44 x_{20} & -2.56 x_{2} & +  0.67 x_{28} & -1.00 x_{8} & -0.78 x_{14}\\
 x_{1}   &  0.75 & +  1.81 x_{22} & -1.36 x_{5} & -0.64 x_{20} & -0.39 x_{2} & -0.08 x_{28} & +  0.00 x_{8} & -1.44 x_{14}\\
 x_{3}   &  2.0 & -1.67 x_{22} & +  1.33 x_{5} & +  1.17 x_{20} & +  0.17 x_{2} & +  0.00 x_{28} & -0.00 x_{8} & +  1.33 x_{14}\\
 x_{11}   &  68.75 & -47.31 x_{22} & + 12.86 x_{5} & + 33.64 x_{20} & -11.11 x_{2} & +  4.58 x_{28} & -6.00 x_{8} & + 30.44 x_{14}\\
 x_{7}   &  5.0 & -2.67 x_{22} & +  1.33 x_{5} & +  1.67 x_{20} & -0.33 x_{2} & +  0.00 x_{28} & -0.00 x_{8} & +  2.33 x_{14}\\
 x_{15}   &  -1.11022302463e-16 & +  0.00 x_{22} & -0.00 x_{5} & +  0.50 x_{20} & +  0.50 x_{2} & +  0.00 x_{28} & +  0.00 x_{8} & +  0.00 x_{14}\\
 x_{6}   &  4.60742555219e-15 & -1.67 x_{22} & +  1.33 x_{5} & +  1.67 x_{20} & -0.33 x_{2} & +  0.00 x_{28} & -0.00 x_{8} & +  1.33 x_{14}\\
 x_{12}   &  1.75 & +  8.03 x_{22} & -1.81 x_{5} & -1.69 x_{20} & +  1.56 x_{2} & -3.42 x_{28} & +  4.00 x_{8} & -0.22 x_{14}\\
 x_{16}   &  0.25 & -0.81 x_{22} & +  1.36 x_{5} & +  0.64 x_{20} & +  0.39 x_{2} & +  0.08 x_{28} & +  0.00 x_{8} & +  1.44 x_{14}\\
 x_{17}   &  2.25 & +  7.97 x_{22} & -2.19 x_{5} & -2.31 x_{20} & +  1.44 x_{2} & -2.58 x_{28} & +  3.00 x_{8} & -0.78 x_{14}\\
 x_{10}   &  0.5 & -1.06 x_{22} & -0.39 x_{5} & -0.61 x_{20} & -0.11 x_{2} & +  0.83 x_{28} & -1.00 x_{8} & +  0.44 x_{14}\\
 x_{19}   &  0.25 & -0.92 x_{22} & +  0.58 x_{5} & -0.08 x_{20} & -0.33 x_{2} & +  0.75 x_{28} & -0.00 x_{8} & +  1.33 x_{14}\\
 x_{9}   &  18.75 & +  4.36 x_{22} & -22.47 x_{5} & +  0.97 x_{20} & -10.78 x_{2} & +  4.58 x_{28} & -7.00 x_{8} & -12.89 x_{14}\\
 x_{21}   &  0.5 & -0.83 x_{22} & +  0.17 x_{5} & +  0.33 x_{20} & -0.17 x_{2} & +  0.50 x_{28} & +  0.00 x_{8} & +  0.67 x_{14}\\
 x_{13}   &  0.5 & +  3.50 x_{22} & -0.50 x_{5} & -0.50 x_{20} & +  1.00 x_{2} & -1.50 x_{28} & +  2.00 x_{8} & +  0.00 x_{14}\\
 x_{23}   &  0.25 & -0.47 x_{22} & +  0.69 x_{5} & +  0.81 x_{20} & -0.44 x_{2} & +  0.08 x_{28} & -0.00 x_{8} & +  0.78 x_{14}\\
 x_{24}   &  1.99840144433e-15 & -0.78 x_{22} & +  0.56 x_{5} & -0.06 x_{20} & -0.06 x_{2} & +  0.67 x_{28} & -0.00 x_{8} & +  1.22 x_{14}\\
 x_{25}   &  2.77555756156e-16 & -0.00 x_{22} & +  0.00 x_{5} & +  1.00 x_{20} & +  0.00 x_{2} & +  0.00 x_{28} & -0.00 x_{8} & +  0.00 x_{14}\\
 x_{26}   &  0.25 & -1.92 x_{22} & +  0.58 x_{5} & +  0.92 x_{20} & -0.33 x_{2} & +  0.75 x_{28} & -0.00 x_{8} & +  1.33 x_{14}\\
 x_{27}   &  6.05071548421e-15 & +  0.33 x_{22} & +  0.33 x_{5} & +  0.67 x_{20} & -0.33 x_{2} & +  0.00 x_{28} & -0.00 x_{8} & +  0.33 x_{14}\\
 x_{18}   &  0.25 & -0.58 x_{22} & -0.08 x_{5} & +  0.08 x_{20} & -0.17 x_{2} & +  0.75 x_{28} & -0.00 x_{8} & +  0.67 x_{14}\\
 x_{29}   &  -4.27435864481e-15 & +  1.67 x_{22} & -0.33 x_{5} & -0.17 x_{20} & -0.17 x_{2} & -0.00 x_{28} & +  0.00 x_{8} & -1.33 x_{14}\\
 x_{30}   &  -4.27435864481e-15 & +  1.67 x_{22} & -0.33 x_{5} & -0.17 x_{20} & -0.17 x_{2} & -0.00 x_{28} & +  0.00 x_{8} & -1.33 x_{14}\\
 x_{31}   &  0.25 & -1.36 x_{22} & +  0.47 x_{5} & +  0.03 x_{20} & -0.22 x_{2} & +  1.42 x_{28} & +  0.00 x_{8} & +  0.89 x_{14}\\
 x_{32}   &  0.5 & +  0.28 x_{22} & -0.06 x_{5} & +  0.56 x_{20} & +  0.06 x_{2} & +  0.83 x_{28} & -0.00 x_{8} & -0.22 x_{14}\\
 x_{33}   &  0.75 & +  0.14 x_{22} & -1.03 x_{5} & +  0.53 x_{20} & -0.22 x_{2} & +  0.92 x_{28} & -0.00 x_{8} & -0.11 x_{14}\\
 x_{34}   &  0.75 & +  1.25 x_{22} & -1.25 x_{5} & +  0.75 x_{20} & +  0.00 x_{2} & +  0.25 x_{28} & -0.00 x_{8} & -1.00 x_{14}\\
 x_{35}   &  0.75 & +  0.69 x_{22} & -0.14 x_{5} & +  0.64 x_{20} & -0.11 x_{2} & +  0.58 x_{28} & -0.00 x_{8} & -0.56 x_{14}\\
 x_{36}   &  0.25 & +  1.53 x_{22} & -1.31 x_{5} & +  0.31 x_{20} & +  0.06 x_{2} & +  0.08 x_{28} & -0.00 x_{8} & -1.22 x_{14}\\
 x_{37}   &  -1.49324996812e-14 & -0.11 x_{22} & -0.78 x_{5} & -0.22 x_{20} & -0.22 x_{2} & +  0.67 x_{28} & -0.00 x_{8} & -0.11 x_{14}\\
 x_{38}   &  0.25 & -0.25 x_{22} & +  0.25 x_{5} & +  0.25 x_{20} & +  0.00 x_{2} & +  0.75 x_{28} & -0.00 x_{8} & -0.00 x_{14}\\
 x_{39}   &  4.79061235126e-14 & -0.11 x_{22} & +  0.22 x_{5} & -0.22 x_{20} & -0.22 x_{2} & +  0.67 x_{28} & +  0.00 x_{8} & -0.11 x_{14}\\
 x_{40}   &  0.25 & -0.81 x_{22} & +  0.36 x_{5} & +  0.14 x_{20} & -0.11 x_{2} & +  1.08 x_{28} & -0.00 x_{8} & +  0.44 x_{14}\\
 x_{41}   &  0.75 & +  0.69 x_{22} & -1.14 x_{5} & +  0.64 x_{20} & -0.11 x_{2} & +  0.58 x_{28} & -0.00 x_{8} & -0.56 x_{14}\\
 x_{42}   &  -1.60427227058e-14 & -0.11 x_{22} & -0.78 x_{5} & -0.22 x_{20} & -0.22 x_{2} & +  0.67 x_{28} & +  0.00 x_{8} & -0.11 x_{14}\\
 x_{43}   &  0.5 & -0.39 x_{22} & -0.72 x_{5} & +  0.72 x_{20} & +  0.22 x_{2} & +  0.83 x_{28} & -0.00 x_{8} & +  0.11 x_{14}\\
 x_{44}   &  0.5 & +  0.28 x_{22} & -1.06 x_{5} & +  0.56 x_{20} & +  0.06 x_{2} & +  0.83 x_{28} & +  0.00 x_{8} & -0.22 x_{14}\\
 x_{45}   &  0.5 & -1.50 x_{22} & +  0.50 x_{5} & +  0.50 x_{20} & +  0.00 x_{2} & +  1.50 x_{28} & -0.00 x_{8} & +  1.00 x_{14}\\
 x_{46}   &  -0.75 & +  0.19 x_{22} & +  0.36 x_{5} & +  0.64 x_{20} & +  0.39 x_{2} & +  0.08 x_{28} & +  1.00 x_{8} & +  0.44 x_{14}\\
 x_{47}   &  -0.75 & +  0.31 x_{22} & +  0.14 x_{5} & +  0.36 x_{20} & +  0.11 x_{2} & +  0.42 x_{28} & +  0.00 x_{8} & +  0.56 x_{14}\\
 x_{48}   &  -0.75 & +  0.97 x_{22} & +  0.81 x_{5} & +  0.69 x_{20} & +  0.44 x_{2} & +  0.42 x_{28} & +  1.00 x_{8} & +  0.22 x_{14}\\
 x_{49}   &  -0.25 & +  0.81 x_{22} & +  0.64 x_{5} & +  0.36 x_{20} & +  0.61 x_{2} & +  0.92 x_{28} & +  1.00 x_{8} & +  0.56 x_{14}\\
 x_{50}   &  -0.25 & +  0.03 x_{22} & +  0.19 x_{5} & +  0.31 x_{20} & +  0.56 x_{2} & +  0.58 x_{28} & +  1.00 x_{8} & +  0.78 x_{14}\\
 x_{51}   &  -0.5 & +  0.06 x_{22} & +  0.39 x_{5} & +  0.61 x_{20} & +  0.11 x_{2} & +  0.17 x_{28} & +  0.00 x_{8} & +  0.56 x_{14}\\
 x_{52}   &  -0.25 & +  0.92 x_{22} & +  0.42 x_{5} & +  0.08 x_{20} & +  0.33 x_{2} & +  0.25 x_{28} & +  0.00 x_{8} & +  0.67 x_{14}\\
 x_{53}   &  -0.75 & +  0.64 x_{22} & +  0.47 x_{5} & +  0.03 x_{20} & +  0.78 x_{2} & +  0.42 x_{28} & +  0.00 x_{8} & +  0.89 x_{14}\\
 x_{54}   &  -0.5 & +  0.83 x_{22} & +  0.83 x_{5} & +  0.67 x_{20} & +  0.17 x_{2} & +  0.50 x_{28} & +  1.00 x_{8} & +  0.33 x_{14}\\
 x_{55}   &  -0.5 & +  0.50 x_{22} & +  0.50 x_{5} & +  0.50 x_{20} & +  1.00 x_{2} & +  0.50 x_{28} & +  1.00 x_{8} & +  1.00 x_{14}\\
 x_{56}   &  -0.25 & +  0.47 x_{22} & +  0.31 x_{5} & +  0.19 x_{20} & +  0.44 x_{2} & +  0.92 x_{28} & +  0.00 x_{8} & +  0.22 x_{14}\\
 x_{57}   &  -0.25 & +  0.92 x_{22} & +  0.42 x_{5} & +  0.08 x_{20} & +  0.33 x_{2} & +  0.25 x_{28} & +  0.00 x_{8} & +  0.67 x_{14}\\
 x_{58}   &  -0.25 & +  0.58 x_{22} & +  0.08 x_{5} & +  0.92 x_{20} & +  0.17 x_{2} & +  0.25 x_{28} & +  0.00 x_{8} & +  0.33 x_{14}\\
 x_{59}   &  -0.25 & +  0.36 x_{22} & +  0.53 x_{5} & +  0.97 x_{20} & +  0.22 x_{2} & +  0.58 x_{28} & +  1.00 x_{8} & +  0.11 x_{14}\\
 x_{60}   &  -0.5 & +  0.72 x_{22} & +  0.06 x_{5} & +  0.44 x_{20} & +  0.94 x_{2} & +  0.17 x_{28} & +  0.00 x_{8} & +  0.22 x_{14}\\
 x_{61}   &  -0.75 & +  0.86 x_{22} & +  0.03 x_{5} & +  0.47 x_{20} & +  0.22 x_{2} & +  0.08 x_{28} & +  0.00 x_{8} & +  0.11 x_{14}\\
 x_{62}   &  -0.75 & +  0.75 x_{22} & +  0.25 x_{5} & +  0.25 x_{20} & +  1.00 x_{2} & +  0.75 x_{28} & +  0.00 x_{8} & +  0.00 x_{14}\\
 x_{63}   &  -0.75 & +  0.31 x_{22} & +  0.14 x_{5} & +  0.36 x_{20} & +  0.11 x_{2} & +  0.42 x_{28} & +  0.00 x_{8} & +  0.56 x_{14}\\
 x_{64}   &  -0.25 & +  0.47 x_{22} & +  0.31 x_{5} & +  0.69 x_{20} & +  0.94 x_{2} & +  0.92 x_{28} & +  0.00 x_{8} & +  0.22 x_{14}\\
 x_{65}   &  -0.25 & +  0.25 x_{22} & +  0.75 x_{5} & +  0.75 x_{20} & +  1.00 x_{2} & +  0.25 x_{28} & +  0.00 x_{8} & +  0.00 x_{14}\\
 x_{66}   &  -0.25 & +  0.81 x_{22} & +  0.64 x_{5} & +  0.86 x_{20} & +  0.11 x_{2} & +  0.92 x_{28} & +  0.00 x_{8} & +  0.56 x_{14}\\
 x_{67}   &  -0.75 & +  0.31 x_{22} & +  0.14 x_{5} & +  0.36 x_{20} & +  0.11 x_{2} & +  0.42 x_{28} & +  0.00 x_{8} & +  0.56 x_{14}\\
 x_{68}   &  -0.5 & +  0.39 x_{22} & +  0.72 x_{5} & +  0.28 x_{20} & +  0.78 x_{2} & +  0.17 x_{28} & +  0.00 x_{8} & +  0.89 x_{14}\\
 x_{69}   &  -0.5 & +  0.72 x_{22} & +  0.06 x_{5} & +  0.44 x_{20} & +  0.94 x_{2} & +  0.17 x_{28} & +  1.00 x_{8} & +  0.22 x_{14}\\
 x_{70}   &  -0.5 & +  0.50 x_{22} & +  0.50 x_{5} & +  0.50 x_{20} & +  1.00 x_{2} & +  0.50 x_{28} & +  0.00 x_{8} & +  0.00 x_{14}\\
\hline
z    &  4.0 & +  0.00 x_{22} & -2.00 x_{5} & -1.00 x_{20} & +  0.00 x_{2} & -0.00 x_{28} & +  0.00 x_{8} & -0.00 x_{14}\\
\end{array}\]
Forming the dual dictionary:

The Final Dual Dictionary is: 

 Final primal dictionary obtained: 
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{8}   &  0.181818181818 & -0.27 x_{6} & -0.00 x_{5} & +  0.17 x_{20} & +  1.00 x_{46} & -0.76 x_{61} & -0.03 x_{37} & -0.32 x_{2}\\
 x_{1}   &  0.727272727273 & -1.09 x_{6} & -0.00 x_{5} & +  1.17 x_{20} & +  0.00 x_{46} & -0.03 x_{61} & -0.12 x_{37} & -0.77 x_{2}\\
 x_{3}   &  2.0 & +  1.00 x_{6} & +  0.00 x_{5} & -0.50 x_{20} & -0.00 x_{46} &   & +  0.00 x_{37} & +  0.50 x_{2}\\
 x_{11}   &  62.1818181818 & + 25.73 x_{6} & -13.00 x_{5} & -2.33 x_{20} & -6.00 x_{46} & -2.76 x_{61} & +  7.97 x_{37} & +  2.18 x_{2}\\
 x_{7}   &  5.18181818182 & +  1.73 x_{6} & -1.00 x_{5} & -1.33 x_{20} & -0.00 x_{46} & +  0.24 x_{61} & -0.03 x_{37} & +  0.18 x_{2}\\
 x_{15}   &  7.77156117238e-16 & +  0.00 x_{6} & +  0.00 x_{5} & +  0.50 x_{20} &   & +  0.00 x_{61} & +  0.00 x_{37} & +  0.50 x_{2}\\
 x_{4}   &  1.72727272727 & -0.09 x_{6} & -0.00 x_{5} & +  2.83 x_{20} & -1.00 x_{46} & -0.70 x_{61} & +  1.21 x_{37} & -1.77 x_{2}\\
 x_{12}   &  7.18181818182 & -2.27 x_{6} & -5.00 x_{5} & -3.33 x_{20} & +  4.00 x_{46} & +  3.24 x_{61} & -6.03 x_{37} & -2.82 x_{2}\\
 x_{16}   &  1.0 & +  1.00 x_{6} & +  0.00 x_{5} & -1.50 x_{20} & +  0.00 x_{46} & +  1.00 x_{61} & +  0.00 x_{37} & +  0.50 x_{2}\\
 x_{17}   &  7.18181818182 & -2.27 x_{6} & -4.00 x_{5} & -3.17 x_{20} & +  3.00 x_{46} & +  3.58 x_{61} & -4.70 x_{37} & -2.32 x_{2}\\
 x_{14}   &  0.909090909091 & +  0.64 x_{6} & -1.00 x_{5} & -1.67 x_{20} & -0.00 x_{46} & +  1.21 x_{61} & -0.15 x_{37} & -0.09 x_{2}\\
 x_{19}   &  1.0 & +  1.00 x_{6} & +  0.00 x_{5} & -2.00 x_{20} & -0.00 x_{46} & +  1.00 x_{61} & +  1.00 x_{37} & +  0.00 x_{2}\\
 x_{9}   &  10.1818181818 & -6.27 x_{6} & -5.00 x_{5} & + 19.83 x_{20} & -7.00 x_{46} & -4.42 x_{61} & +  8.30 x_{37} & -7.32 x_{2}\\
 x_{21}   &  0.636363636364 & +  0.55 x_{6} & +  0.00 x_{5} & -0.50 x_{20} & +  0.00 x_{46} & +  0.18 x_{61} & +  0.73 x_{37} & +  0.14 x_{2}\\
 x_{13}   &  3.0 & -1.00 x_{6} & -2.00 x_{5} & -1.33 x_{20} & +  2.00 x_{46} & +  1.33 x_{61} & -2.67 x_{37} & -1.00 x_{2}\\
 x_{23}   &  0.636363636364 & +  0.55 x_{6} & -0.00 x_{5} & -0.33 x_{20} & -0.00 x_{46} & +  0.52 x_{61} & +  0.06 x_{37} & -0.36 x_{2}\\
 x_{24}   &  0.727272727273 & +  0.91 x_{6} & -0.00 x_{5} & -1.83 x_{20} & -0.00 x_{46} & +  0.97 x_{61} & +  0.88 x_{37} & +  0.23 x_{2}\\
 x_{25}   &  2.76294139083e-16 & +  0.00 x_{6} & +  0.00 x_{5} & +  1.00 x_{20} & -0.00 x_{46} & +  0.00 x_{61} & +  0.00 x_{37} & +  0.00 x_{2}\\
 x_{26}   &  0.272727272727 & +  1.09 x_{6} & +  0.00 x_{5} & -0.67 x_{20} & -0.00 x_{46} & +  0.03 x_{61} & +  1.12 x_{37} & +  0.27 x_{2}\\
 x_{27}   &  0.545454545455 & +  0.18 x_{6} & -0.00 x_{5} & -0.00 x_{20} & -0.00 x_{46} & +  0.73 x_{61} & -0.09 x_{37} & -0.45 x_{2}\\
 x_{18}   &  0.636363636364 & +  0.55 x_{6} & -0.00 x_{5} & -0.83 x_{20} & -0.00 x_{46} & +  0.52 x_{61} & +  1.06 x_{37} & +  0.14 x_{2}\\
 x_{22}   &  0.727272727273 & -0.09 x_{6} & -0.00 x_{5} & -0.33 x_{20} & -0.00 x_{46} & +  0.97 x_{61} & -0.12 x_{37} & -0.27 x_{2}\\
 x_{30}   &  1.66533453694e-15 & -1.00 x_{6} & +  1.00 x_{5} & +  1.50 x_{20} & +  0.00 x_{46} &   & -0.00 x_{37} & -0.50 x_{2}\\
 x_{31}   &  0.454545454546 & +  0.82 x_{6} & +  1.00 x_{5} & -1.00 x_{20} & +  0.00 x_{46} & +  0.27 x_{61} & +  2.09 x_{37} & +  0.45 x_{2}\\
 x_{32}   &  0.727272727273 & -0.09 x_{6} & +  1.00 x_{5} & +  0.83 x_{20} & +  0.00 x_{46} & +  0.30 x_{61} & +  1.21 x_{37} & +  0.23 x_{2}\\
 x_{33}   &  1.0 & -0.00 x_{6} & -0.00 x_{5} & +  0.67 x_{20} & -0.00 x_{46} & +  0.33 x_{61} & +  1.33 x_{37} & +  0.00 x_{2}\\
 x_{34}   &  0.818181818182 & -0.73 x_{6} & -0.00 x_{5} & +  2.00 x_{20} & -0.00 x_{46} & +  0.09 x_{61} & +  0.36 x_{37} & -0.18 x_{2}\\
 x_{35}   &  0.909090909091 & -0.36 x_{6} & +  1.00 x_{5} & +  1.33 x_{20} & -0.00 x_{46} & +  0.21 x_{61} & +  0.85 x_{37} & -0.09 x_{2}\\
 x_{36}   &  0.272727272727 & -0.91 x_{6} & -0.00 x_{5} & +  1.83 x_{20} & -0.00 x_{46} & +  0.03 x_{61} & +  0.12 x_{37} & -0.23 x_{2}\\
 x_{29}   &  1.66533453694e-15 & -1.00 x_{6} & +  1.00 x_{5} & +  1.50 x_{20} & +  0.00 x_{46} &   & -0.00 x_{37} & -0.50 x_{2}\\
 x_{38}   &  0.272727272727 & +  0.09 x_{6} & +  1.00 x_{5} & +  0.33 x_{20} & +  0.00 x_{46} & +  0.03 x_{61} & +  1.12 x_{37} & +  0.27 x_{2}\\
 x_{39}   &  6.55410069651e-14 & +  0.00 x_{6} & +  1.00 x_{5} & +  0.00 x_{20} & +  0.00 x_{46} & -0.00 x_{61} & +  1.00 x_{37} & -0.00 x_{2}\\
 x_{40}   &  0.363636363636 & +  0.45 x_{6} & +  1.00 x_{5} & -0.33 x_{20} & -0.00 x_{46} & +  0.15 x_{61} & +  1.61 x_{37} & +  0.36 x_{2}\\
 x_{41}   &  0.909090909091 & -0.36 x_{6} & +  0.00 x_{5} & +  1.33 x_{20} & -0.00 x_{46} & +  0.21 x_{61} & +  0.85 x_{37} & -0.09 x_{2}\\
 x_{42}   &  9.689219124e-16 & -0.00 x_{6} & -0.00 x_{5} & +  0.00 x_{20} & +  0.00 x_{46} & -0.00 x_{61} & +  1.00 x_{37} & -0.00 x_{2}\\
 x_{43}   &  0.545454545455 & +  0.18 x_{6} & +  0.00 x_{5} & +  0.67 x_{20} & +  0.00 x_{46} & +  0.06 x_{61} & +  1.24 x_{37} & +  0.55 x_{2}\\
 x_{44}   &  0.727272727273 & -0.09 x_{6} & +  0.00 x_{5} & +  0.83 x_{20} & +  0.00 x_{46} & +  0.30 x_{61} & +  1.21 x_{37} & +  0.23 x_{2}\\
 x_{45}   &  0.727272727273 & +  0.91 x_{6} & +  1.00 x_{5} & -0.67 x_{20} & +  0.00 x_{46} & +  0.30 x_{61} & +  2.21 x_{37} & +  0.73 x_{2}\\
 x_{28}   &  0.272727272727 & +  0.09 x_{6} & +  1.00 x_{5} & +  0.00 x_{20} & +  0.00 x_{46} & +  0.36 x_{61} & +  1.45 x_{37} & +  0.27 x_{2}\\
 x_{10}   &  0.181818181818 & +  0.73 x_{6} & +  0.00 x_{5} & -1.17 x_{20} & -1.00 x_{46} & +  0.58 x_{61} & +  1.30 x_{37} & +  0.68 x_{2}\\
 x_{48}   &  0.454545454545 & -0.18 x_{6} & +  1.00 x_{5} & +  0.17 x_{20} & +  1.00 x_{46} & +  0.61 x_{61} & +  0.42 x_{37} & -0.05 x_{2}\\
 x_{49}   &  1.27272727273 & +  0.09 x_{6} & +  1.00 x_{5} & -0.67 x_{20} & +  1.00 x_{46} & +  1.03 x_{61} & +  1.12 x_{37} & +  0.27 x_{2}\\
 x_{50}   &  0.818181818182 & +  0.27 x_{6} & -0.00 x_{5} & -0.83 x_{20} & +  1.00 x_{46} & +  0.42 x_{61} & +  0.70 x_{37} & +  0.32 x_{2}\\
 x_{51}   &  0.0909090909091 & +  0.36 x_{6} & -0.00 x_{5} & -0.33 x_{20} & -0.00 x_{46} & +  0.79 x_{61} & +  0.15 x_{37} & +  0.09 x_{2}\\
 x_{52}   &  1.09090909091 & +  0.36 x_{6} & +  0.00 x_{5} & -1.33 x_{20} & -0.00 x_{46} & +  1.79 x_{61} & +  0.15 x_{37} & +  0.09 x_{2}\\
 x_{53}   &  0.636363636364 & +  0.55 x_{6} & +  0.00 x_{5} & -1.67 x_{20} & +  0.00 x_{46} & +  1.85 x_{61} & +  0.39 x_{37} & +  0.64 x_{2}\\
 x_{54}   &  0.727272727273 & -0.09 x_{6} & +  1.00 x_{5} & +  0.00 x_{20} & +  1.00 x_{46} & +  0.64 x_{61} & +  0.55 x_{37} & -0.27 x_{2}\\
 x_{55}   &  1.09090909091 & +  0.36 x_{6} & -0.00 x_{5} & -1.17 x_{20} & +  1.00 x_{46} & +  1.12 x_{61} & +  0.48 x_{37} & +  0.59 x_{2}\\
 x_{56}   &  0.545454545455 & +  0.18 x_{6} & +  1.00 x_{5} & -0.33 x_{20} & -0.00 x_{46} & +  1.06 x_{61} & +  1.24 x_{37} & +  0.55 x_{2}\\
 x_{57}   &  1.09090909091 & +  0.36 x_{6} & -0.00 x_{5} & -1.33 x_{20} & +  0.00 x_{46} & +  1.79 x_{61} & +  0.15 x_{37} & +  0.09 x_{2}\\
 x_{58}   &  0.545454545455 & +  0.18 x_{6} & +  0.00 x_{5} & +  0.17 x_{20} & -0.00 x_{46} & +  1.06 x_{61} & +  0.24 x_{37} & +  0.05 x_{2}\\
 x_{59}   &  0.454545454545 & -0.18 x_{6} & +  1.00 x_{5} & +  0.83 x_{20} & +  1.00 x_{46} & -0.06 x_{61} & +  0.76 x_{37} & -0.05 x_{2}\\
 x_{60}   &  0.272727272727 & +  0.09 x_{6} & +  0.00 x_{5} & -0.17 x_{20} & -0.00 x_{46} & +  1.03 x_{61} & +  0.12 x_{37} & +  0.77 x_{2}\\
 x_{47}   &  0.090909090909 & +  0.36 x_{6} & +  0.00 x_{5} & -0.67 x_{20} & +  0.00 x_{46} & +  1.12 x_{61} & +  0.48 x_{37} & +  0.09 x_{2}\\
 x_{62}   &  -6.88338275268e-15 & +  0.00 x_{6} & +  1.00 x_{5} & -0.00 x_{20} & -0.00 x_{46} & +  1.00 x_{61} & +  1.00 x_{37} & +  1.00 x_{2}\\
 x_{63}   &  0.0909090909091 & +  0.36 x_{6} & +  0.00 x_{5} & -0.67 x_{20} & +  0.00 x_{46} & +  1.12 x_{61} & +  0.48 x_{37} & +  0.09 x_{2}\\
 x_{64}   &  0.545454545455 & +  0.18 x_{6} & +  1.00 x_{5} & +  0.17 x_{20} & -0.00 x_{46} & +  1.06 x_{61} & +  1.24 x_{37} & +  1.05 x_{2}\\
 x_{65}   &  4.77395900589e-15 & -0.00 x_{6} & +  1.00 x_{5} & +  0.67 x_{20} & +  0.00 x_{46} & +  0.33 x_{61} & +  0.33 x_{37} & +  1.00 x_{2}\\
 x_{66}   &  1.09090909091 & +  0.36 x_{6} & +  1.00 x_{5} & -0.33 x_{20} & -0.00 x_{46} & +  1.79 x_{61} & +  1.15 x_{37} & +  0.09 x_{2}\\
 x_{67}   &  0.0909090909091 & +  0.36 x_{6} & -0.00 x_{5} & -0.67 x_{20} & -0.00 x_{46} & +  1.12 x_{61} & +  0.48 x_{37} & +  0.09 x_{2}\\
 x_{68}   &  0.636363636364 & +  0.55 x_{6} & +  0.00 x_{5} & -1.33 x_{20} & -0.00 x_{46} & +  1.52 x_{61} & +  0.06 x_{37} & +  0.64 x_{2}\\
 x_{69}   &  0.454545454545 & -0.18 x_{6} & +  0.00 x_{5} & +  0.00 x_{20} & +  1.00 x_{46} & +  0.27 x_{61} & +  0.09 x_{37} & +  0.45 x_{2}\\
 x_{70}   &  1.11022302463e-16 & -0.00 x_{6} & +  1.00 x_{5} & +  0.33 x_{20} & +  0.00 x_{46} & +  0.67 x_{61} & +  0.67 x_{37} & +  1.00 x_{2}\\
\hline
z    &  4.0 & -0.00 x_{6} & -2.00 x_{5} & -1.00 x_{20} & +  0.00 x_{46} & +  0.00 x_{61} & -0.00 x_{37} & -0.00 x_{2}\\
\end{array}\]
 After cutting plane is added 
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{8}   &  0.181818181818 & -0.27 x_{6} & -0.00 x_{5} & +  0.17 x_{20} & +  1.00 x_{46} & -0.76 x_{61} & -0.03 x_{37} & -0.32 x_{2}\\
 x_{1}   &  0.727272727273 & -1.09 x_{6} & -0.00 x_{5} & +  1.17 x_{20} & +  0.00 x_{46} & -0.03 x_{61} & -0.12 x_{37} & -0.77 x_{2}\\
 x_{3}   &  2.0 & +  1.00 x_{6} & +  0.00 x_{5} & -0.50 x_{20} & -0.00 x_{46} &   & +  0.00 x_{37} & +  0.50 x_{2}\\
 x_{11}   &  62.1818181818 & + 25.73 x_{6} & -13.00 x_{5} & -2.33 x_{20} & -6.00 x_{46} & -2.76 x_{61} & +  7.97 x_{37} & +  2.18 x_{2}\\
 x_{7}   &  5.18181818182 & +  1.73 x_{6} & -1.00 x_{5} & -1.33 x_{20} & -0.00 x_{46} & +  0.24 x_{61} & -0.03 x_{37} & +  0.18 x_{2}\\
 x_{15}   &  7.77156117238e-16 & +  0.00 x_{6} & +  0.00 x_{5} & +  0.50 x_{20} &   & +  0.00 x_{61} & +  0.00 x_{37} & +  0.50 x_{2}\\
 x_{4}   &  1.72727272727 & -0.09 x_{6} & -0.00 x_{5} & +  2.83 x_{20} & -1.00 x_{46} & -0.70 x_{61} & +  1.21 x_{37} & -1.77 x_{2}\\
 x_{12}   &  7.18181818182 & -2.27 x_{6} & -5.00 x_{5} & -3.33 x_{20} & +  4.00 x_{46} & +  3.24 x_{61} & -6.03 x_{37} & -2.82 x_{2}\\
 x_{16}   &  1.0 & +  1.00 x_{6} & +  0.00 x_{5} & -1.50 x_{20} & +  0.00 x_{46} & +  1.00 x_{61} & +  0.00 x_{37} & +  0.50 x_{2}\\
 x_{17}   &  7.18181818182 & -2.27 x_{6} & -4.00 x_{5} & -3.17 x_{20} & +  3.00 x_{46} & +  3.58 x_{61} & -4.70 x_{37} & -2.32 x_{2}\\
 x_{14}   &  0.909090909091 & +  0.64 x_{6} & -1.00 x_{5} & -1.67 x_{20} & -0.00 x_{46} & +  1.21 x_{61} & -0.15 x_{37} & -0.09 x_{2}\\
 x_{19}   &  1.0 & +  1.00 x_{6} & +  0.00 x_{5} & -2.00 x_{20} & -0.00 x_{46} & +  1.00 x_{61} & +  1.00 x_{37} & +  0.00 x_{2}\\
 x_{9}   &  10.1818181818 & -6.27 x_{6} & -5.00 x_{5} & + 19.83 x_{20} & -7.00 x_{46} & -4.42 x_{61} & +  8.30 x_{37} & -7.32 x_{2}\\
 x_{21}   &  0.636363636364 & +  0.55 x_{6} & +  0.00 x_{5} & -0.50 x_{20} & +  0.00 x_{46} & +  0.18 x_{61} & +  0.73 x_{37} & +  0.14 x_{2}\\
 x_{13}   &  3.0 & -1.00 x_{6} & -2.00 x_{5} & -1.33 x_{20} & +  2.00 x_{46} & +  1.33 x_{61} & -2.67 x_{37} & -1.00 x_{2}\\
 x_{23}   &  0.636363636364 & +  0.55 x_{6} & -0.00 x_{5} & -0.33 x_{20} & -0.00 x_{46} & +  0.52 x_{61} & +  0.06 x_{37} & -0.36 x_{2}\\
 x_{24}   &  0.727272727273 & +  0.91 x_{6} & -0.00 x_{5} & -1.83 x_{20} & -0.00 x_{46} & +  0.97 x_{61} & +  0.88 x_{37} & +  0.23 x_{2}\\
 x_{25}   &  2.76294139083e-16 & +  0.00 x_{6} & +  0.00 x_{5} & +  1.00 x_{20} & -0.00 x_{46} & +  0.00 x_{61} & +  0.00 x_{37} & +  0.00 x_{2}\\
 x_{26}   &  0.272727272727 & +  1.09 x_{6} & +  0.00 x_{5} & -0.67 x_{20} & -0.00 x_{46} & +  0.03 x_{61} & +  1.12 x_{37} & +  0.27 x_{2}\\
 x_{27}   &  0.545454545455 & +  0.18 x_{6} & -0.00 x_{5} & -0.00 x_{20} & -0.00 x_{46} & +  0.73 x_{61} & -0.09 x_{37} & -0.45 x_{2}\\
 x_{18}   &  0.636363636364 & +  0.55 x_{6} & -0.00 x_{5} & -0.83 x_{20} & -0.00 x_{46} & +  0.52 x_{61} & +  1.06 x_{37} & +  0.14 x_{2}\\
 x_{22}   &  0.727272727273 & -0.09 x_{6} & -0.00 x_{5} & -0.33 x_{20} & -0.00 x_{46} & +  0.97 x_{61} & -0.12 x_{37} & -0.27 x_{2}\\
 x_{30}   &  1.66533453694e-15 & -1.00 x_{6} & +  1.00 x_{5} & +  1.50 x_{20} & +  0.00 x_{46} &   & -0.00 x_{37} & -0.50 x_{2}\\
 x_{31}   &  0.454545454546 & +  0.82 x_{6} & +  1.00 x_{5} & -1.00 x_{20} & +  0.00 x_{46} & +  0.27 x_{61} & +  2.09 x_{37} & +  0.45 x_{2}\\
 x_{32}   &  0.727272727273 & -0.09 x_{6} & +  1.00 x_{5} & +  0.83 x_{20} & +  0.00 x_{46} & +  0.30 x_{61} & +  1.21 x_{37} & +  0.23 x_{2}\\
 x_{33}   &  1.0 & -0.00 x_{6} & -0.00 x_{5} & +  0.67 x_{20} & -0.00 x_{46} & +  0.33 x_{61} & +  1.33 x_{37} & +  0.00 x_{2}\\
 x_{34}   &  0.818181818182 & -0.73 x_{6} & -0.00 x_{5} & +  2.00 x_{20} & -0.00 x_{46} & +  0.09 x_{61} & +  0.36 x_{37} & -0.18 x_{2}\\
 x_{35}   &  0.909090909091 & -0.36 x_{6} & +  1.00 x_{5} & +  1.33 x_{20} & -0.00 x_{46} & +  0.21 x_{61} & +  0.85 x_{37} & -0.09 x_{2}\\
 x_{36}   &  0.272727272727 & -0.91 x_{6} & -0.00 x_{5} & +  1.83 x_{20} & -0.00 x_{46} & +  0.03 x_{61} & +  0.12 x_{37} & -0.23 x_{2}\\
 x_{29}   &  1.66533453694e-15 & -1.00 x_{6} & +  1.00 x_{5} & +  1.50 x_{20} & +  0.00 x_{46} &   & -0.00 x_{37} & -0.50 x_{2}\\
 x_{38}   &  0.272727272727 & +  0.09 x_{6} & +  1.00 x_{5} & +  0.33 x_{20} & +  0.00 x_{46} & +  0.03 x_{61} & +  1.12 x_{37} & +  0.27 x_{2}\\
 x_{39}   &  6.55410069651e-14 & +  0.00 x_{6} & +  1.00 x_{5} & +  0.00 x_{20} & +  0.00 x_{46} & -0.00 x_{61} & +  1.00 x_{37} & -0.00 x_{2}\\
 x_{40}   &  0.363636363636 & +  0.45 x_{6} & +  1.00 x_{5} & -0.33 x_{20} & -0.00 x_{46} & +  0.15 x_{61} & +  1.61 x_{37} & +  0.36 x_{2}\\
 x_{41}   &  0.909090909091 & -0.36 x_{6} & +  0.00 x_{5} & +  1.33 x_{20} & -0.00 x_{46} & +  0.21 x_{61} & +  0.85 x_{37} & -0.09 x_{2}\\
 x_{42}   &  9.689219124e-16 & -0.00 x_{6} & -0.00 x_{5} & +  0.00 x_{20} & +  0.00 x_{46} & -0.00 x_{61} & +  1.00 x_{37} & -0.00 x_{2}\\
 x_{43}   &  0.545454545455 & +  0.18 x_{6} & +  0.00 x_{5} & +  0.67 x_{20} & +  0.00 x_{46} & +  0.06 x_{61} & +  1.24 x_{37} & +  0.55 x_{2}\\
 x_{44}   &  0.727272727273 & -0.09 x_{6} & +  0.00 x_{5} & +  0.83 x_{20} & +  0.00 x_{46} & +  0.30 x_{61} & +  1.21 x_{37} & +  0.23 x_{2}\\
 x_{45}   &  0.727272727273 & +  0.91 x_{6} & +  1.00 x_{5} & -0.67 x_{20} & +  0.00 x_{46} & +  0.30 x_{61} & +  2.21 x_{37} & +  0.73 x_{2}\\
 x_{28}   &  0.272727272727 & +  0.09 x_{6} & +  1.00 x_{5} & +  0.00 x_{20} & +  0.00 x_{46} & +  0.36 x_{61} & +  1.45 x_{37} & +  0.27 x_{2}\\
 x_{10}   &  0.181818181818 & +  0.73 x_{6} & +  0.00 x_{5} & -1.17 x_{20} & -1.00 x_{46} & +  0.58 x_{61} & +  1.30 x_{37} & +  0.68 x_{2}\\
 x_{48}   &  0.454545454545 & -0.18 x_{6} & +  1.00 x_{5} & +  0.17 x_{20} & +  1.00 x_{46} & +  0.61 x_{61} & +  0.42 x_{37} & -0.05 x_{2}\\
 x_{49}   &  1.27272727273 & +  0.09 x_{6} & +  1.00 x_{5} & -0.67 x_{20} & +  1.00 x_{46} & +  1.03 x_{61} & +  1.12 x_{37} & +  0.27 x_{2}\\
 x_{50}   &  0.818181818182 & +  0.27 x_{6} & -0.00 x_{5} & -0.83 x_{20} & +  1.00 x_{46} & +  0.42 x_{61} & +  0.70 x_{37} & +  0.32 x_{2}\\
 x_{51}   &  0.0909090909091 & +  0.36 x_{6} & -0.00 x_{5} & -0.33 x_{20} & -0.00 x_{46} & +  0.79 x_{61} & +  0.15 x_{37} & +  0.09 x_{2}\\
 x_{52}   &  1.09090909091 & +  0.36 x_{6} & +  0.00 x_{5} & -1.33 x_{20} & -0.00 x_{46} & +  1.79 x_{61} & +  0.15 x_{37} & +  0.09 x_{2}\\
 x_{53}   &  0.636363636364 & +  0.55 x_{6} & +  0.00 x_{5} & -1.67 x_{20} & +  0.00 x_{46} & +  1.85 x_{61} & +  0.39 x_{37} & +  0.64 x_{2}\\
 x_{54}   &  0.727272727273 & -0.09 x_{6} & +  1.00 x_{5} & +  0.00 x_{20} & +  1.00 x_{46} & +  0.64 x_{61} & +  0.55 x_{37} & -0.27 x_{2}\\
 x_{55}   &  1.09090909091 & +  0.36 x_{6} & -0.00 x_{5} & -1.17 x_{20} & +  1.00 x_{46} & +  1.12 x_{61} & +  0.48 x_{37} & +  0.59 x_{2}\\
 x_{56}   &  0.545454545455 & +  0.18 x_{6} & +  1.00 x_{5} & -0.33 x_{20} & -0.00 x_{46} & +  1.06 x_{61} & +  1.24 x_{37} & +  0.55 x_{2}\\
 x_{57}   &  1.09090909091 & +  0.36 x_{6} & -0.00 x_{5} & -1.33 x_{20} & +  0.00 x_{46} & +  1.79 x_{61} & +  0.15 x_{37} & +  0.09 x_{2}\\
 x_{58}   &  0.545454545455 & +  0.18 x_{6} & +  0.00 x_{5} & +  0.17 x_{20} & -0.00 x_{46} & +  1.06 x_{61} & +  0.24 x_{37} & +  0.05 x_{2}\\
 x_{59}   &  0.454545454545 & -0.18 x_{6} & +  1.00 x_{5} & +  0.83 x_{20} & +  1.00 x_{46} & -0.06 x_{61} & +  0.76 x_{37} & -0.05 x_{2}\\
 x_{60}   &  0.272727272727 & +  0.09 x_{6} & +  0.00 x_{5} & -0.17 x_{20} & -0.00 x_{46} & +  1.03 x_{61} & +  0.12 x_{37} & +  0.77 x_{2}\\
 x_{47}   &  0.090909090909 & +  0.36 x_{6} & +  0.00 x_{5} & -0.67 x_{20} & +  0.00 x_{46} & +  1.12 x_{61} & +  0.48 x_{37} & +  0.09 x_{2}\\
 x_{62}   &  -6.88338275268e-15 & +  0.00 x_{6} & +  1.00 x_{5} & -0.00 x_{20} & -0.00 x_{46} & +  1.00 x_{61} & +  1.00 x_{37} & +  1.00 x_{2}\\
 x_{63}   &  0.0909090909091 & +  0.36 x_{6} & +  0.00 x_{5} & -0.67 x_{20} & +  0.00 x_{46} & +  1.12 x_{61} & +  0.48 x_{37} & +  0.09 x_{2}\\
 x_{64}   &  0.545454545455 & +  0.18 x_{6} & +  1.00 x_{5} & +  0.17 x_{20} & -0.00 x_{46} & +  1.06 x_{61} & +  1.24 x_{37} & +  1.05 x_{2}\\
 x_{65}   &  4.77395900589e-15 & -0.00 x_{6} & +  1.00 x_{5} & +  0.67 x_{20} & +  0.00 x_{46} & +  0.33 x_{61} & +  0.33 x_{37} & +  1.00 x_{2}\\
 x_{66}   &  1.09090909091 & +  0.36 x_{6} & +  1.00 x_{5} & -0.33 x_{20} & -0.00 x_{46} & +  1.79 x_{61} & +  1.15 x_{37} & +  0.09 x_{2}\\
 x_{67}   &  0.0909090909091 & +  0.36 x_{6} & -0.00 x_{5} & -0.67 x_{20} & -0.00 x_{46} & +  1.12 x_{61} & +  0.48 x_{37} & +  0.09 x_{2}\\
 x_{68}   &  0.636363636364 & +  0.55 x_{6} & +  0.00 x_{5} & -1.33 x_{20} & -0.00 x_{46} & +  1.52 x_{61} & +  0.06 x_{37} & +  0.64 x_{2}\\
 x_{69}   &  0.454545454545 & -0.18 x_{6} & +  0.00 x_{5} & +  0.00 x_{20} & +  1.00 x_{46} & +  0.27 x_{61} & +  0.09 x_{37} & +  0.45 x_{2}\\
 x_{70}   &  1.11022302463e-16 & -0.00 x_{6} & +  1.00 x_{5} & +  0.33 x_{20} & +  0.00 x_{46} & +  0.67 x_{61} & +  0.67 x_{37} & +  1.00 x_{2}\\
 x_{71}   &  -0.181818181818 & +  0.27 x_{6} & +  0.00 x_{5} & +  0.83 x_{20} & +  1.00 x_{46} & +  0.76 x_{61} & +  0.03 x_{37} & +  0.32 x_{2}\\
 x_{72}   &  -0.727272727273 & +  0.09 x_{6} & +  0.00 x_{5} & +  0.83 x_{20} & +  1.00 x_{46} & +  0.03 x_{61} & +  0.12 x_{37} & +  0.77 x_{2}\\
 x_{73}   &  -0.181818181818 & +  0.27 x_{6} & +  0.00 x_{5} & +  0.33 x_{20} & +  0.00 x_{46} & +  0.76 x_{61} & +  0.03 x_{37} & +  0.82 x_{2}\\
 x_{74}   &  -0.181818181818 & +  0.27 x_{6} & +  1.00 x_{5} & +  0.33 x_{20} & +  0.00 x_{46} & +  0.76 x_{61} & +  0.03 x_{37} & +  0.82 x_{2}\\
 x_{75}   &  -0.727272727273 & +  0.09 x_{6} & +  0.00 x_{5} & +  0.17 x_{20} & +  1.00 x_{46} & +  0.70 x_{61} & +  0.79 x_{37} & +  0.77 x_{2}\\
 x_{76}   &  -0.181818181818 & +  0.27 x_{6} & +  0.00 x_{5} & +  0.33 x_{20} & +  0.00 x_{46} & +  0.76 x_{61} & +  0.03 x_{37} & +  0.82 x_{2}\\
 x_{77}   &  -0.181818181818 & +  0.27 x_{6} & +  1.00 x_{5} & +  0.17 x_{20} & +  0.00 x_{46} & +  0.42 x_{61} & +  0.70 x_{37} & +  0.32 x_{2}\\
 x_{78}   &  -0.909090909091 & +  0.36 x_{6} & +  1.00 x_{5} & +  0.67 x_{20} & +  0.00 x_{46} & +  0.79 x_{61} & +  0.15 x_{37} & +  0.09 x_{2}\\
 x_{79}   &  -0.181818181819 & +  0.27 x_{6} & +  0.00 x_{5} & +  0.17 x_{20} & +  1.00 x_{46} & +  0.42 x_{61} & +  0.70 x_{37} & +  0.32 x_{2}\\
 x_{80}   &  -0.636363636364 & +  0.45 x_{6} & +  1.00 x_{5} & +  0.50 x_{20} & +  1.00 x_{46} & +  0.82 x_{61} & +  0.27 x_{37} & +  0.86 x_{2}\\
 x_{81}   &  -0.636363636364 & +  0.45 x_{6} & +  0.00 x_{5} & +  0.33 x_{20} & +  0.00 x_{46} & +  0.48 x_{61} & +  0.94 x_{37} & +  0.36 x_{2}\\
 x_{82}   &  -0.727272727273 & +  0.09 x_{6} & +  0.00 x_{5} & +  0.83 x_{20} & +  0.00 x_{46} & +  0.03 x_{61} & +  0.12 x_{37} & +  0.77 x_{2}\\
 x_{83}   &  -0.272727272727 & +  0.91 x_{6} & +  1.00 x_{5} & +  0.67 x_{20} & +  0.00 x_{46} & +  0.97 x_{61} & +  0.88 x_{37} & +  0.73 x_{2}\\
 x_{84}   &  -0.545454545455 & +  0.82 x_{6} & +  0.00 x_{5} & +  0.00 x_{20} & +  0.00 x_{46} & +  0.27 x_{61} & +  0.09 x_{37} & +  0.45 x_{2}\\
 x_{85}   &  -0.636363636364 & +  0.45 x_{6} & +  0.00 x_{5} & +  0.83 x_{20} & +  0.00 x_{46} & +  0.48 x_{61} & +  0.94 x_{37} & +  0.86 x_{2}\\
 x_{86}   &  -0.727272727273 & +  0.09 x_{6} & +  0.00 x_{5} & +  0.33 x_{20} & +  0.00 x_{46} & +  0.03 x_{61} & +  0.12 x_{37} & +  0.27 x_{2}\\
 x_{87}   &  -0.454545454546 & +  0.18 x_{6} & +  0.00 x_{5} & +  0.00 x_{20} & +  1.00 x_{46} & +  0.73 x_{61} & +  0.91 x_{37} & +  0.55 x_{2}\\
 x_{88}   &  -0.727272727273 & +  0.09 x_{6} & +  0.00 x_{5} & +  0.17 x_{20} & +  1.00 x_{46} & +  0.70 x_{61} & +  0.79 x_{37} & +  0.77 x_{2}\\
 x_{89}   &  -0.818181818182 & +  0.73 x_{6} & +  0.00 x_{5} & +  0.00 x_{20} & +  0.00 x_{46} & +  0.91 x_{61} & +  0.64 x_{37} & +  0.18 x_{2}\\
 x_{90}   &  -0.909090909091 & +  0.36 x_{6} & +  0.00 x_{5} & +  0.67 x_{20} & +  0.00 x_{46} & +  0.79 x_{61} & +  0.15 x_{37} & +  0.09 x_{2}\\
 x_{91}   &  -0.272727272727 & +  0.91 x_{6} & +  0.00 x_{5} & +  0.17 x_{20} & +  0.00 x_{46} & +  0.97 x_{61} & +  0.88 x_{37} & +  0.23 x_{2}\\
 x_{92}   &  -0.272727272727 & +  0.91 x_{6} & +  0.00 x_{5} & +  0.67 x_{20} & +  1.00 x_{46} & +  0.97 x_{61} & +  0.88 x_{37} & +  0.73 x_{2}\\
 x_{93}   &  -0.363636363636 & +  0.55 x_{6} & +  1.00 x_{5} & +  0.33 x_{20} & +  0.00 x_{46} & +  0.85 x_{61} & +  0.39 x_{37} & +  0.64 x_{2}\\
 x_{94}   &  -0.909090909091 & +  0.36 x_{6} & +  1.00 x_{5} & +  0.67 x_{20} & +  0.00 x_{46} & +  0.79 x_{61} & +  0.15 x_{37} & +  0.09 x_{2}\\
 x_{95}   &  -0.545454545455 & +  0.82 x_{6} & +  1.00 x_{5} & +  0.33 x_{20} & +  1.00 x_{46} & +  0.94 x_{61} & +  0.76 x_{37} & +  0.45 x_{2}\\
 x_{96}   &  -0.727272727273 & +  0.09 x_{6} & +  1.00 x_{5} & +  0.17 x_{20} & +  1.00 x_{46} & +  0.70 x_{61} & +  0.79 x_{37} & +  0.77 x_{2}\\
 x_{97}   &  -0.727272727273 & +  0.09 x_{6} & +  0.00 x_{5} & +  0.67 x_{20} & +  1.00 x_{46} & +  0.70 x_{61} & +  0.79 x_{37} & +  0.27 x_{2}\\
 x_{98}   &  -0.272727272727 & +  0.91 x_{6} & +  0.00 x_{5} & +  1.00 x_{20} & +  1.00 x_{46} & +  0.64 x_{61} & +  0.55 x_{37} & +  0.73 x_{2}\\
 x_{99}   &  -0.181818181818 & +  0.27 x_{6} & +  1.00 x_{5} & +  0.17 x_{20} & +  0.00 x_{46} & +  0.42 x_{61} & +  0.70 x_{37} & +  0.32 x_{2}\\
 x_{100}   &  -0.454545454545 & +  0.18 x_{6} & +  0.00 x_{5} & +  0.83 x_{20} & +  0.00 x_{46} & +  0.39 x_{61} & +  0.58 x_{37} & +  0.05 x_{2}\\
 x_{101}   &  -0.272727272727 & +  0.91 x_{6} & +  0.00 x_{5} & +  0.67 x_{20} & +  0.00 x_{46} & +  0.97 x_{61} & +  0.88 x_{37} & +  0.73 x_{2}\\
 x_{102}   &  -0.818181818182 & +  0.73 x_{6} & +  0.00 x_{5} & +  0.83 x_{20} & +  0.00 x_{46} & +  0.58 x_{61} & +  0.30 x_{37} & +  0.68 x_{2}\\
 x_{103}   &  -0.0909090909091 & +  0.64 x_{6} & +  0.00 x_{5} & +  0.33 x_{20} & +  0.00 x_{46} & +  0.21 x_{61} & +  0.85 x_{37} & +  0.91 x_{2}\\
 x_{104}   &  -0.090909090909 & +  0.64 x_{6} & +  1.00 x_{5} & +  0.33 x_{20} & +  0.00 x_{46} & +  0.21 x_{61} & +  0.85 x_{37} & +  0.91 x_{2}\\
 x_{105}   &  -0.636363636364 & +  0.45 x_{6} & +  1.00 x_{5} & +  0.67 x_{20} & +  1.00 x_{46} & +  0.15 x_{61} & +  0.61 x_{37} & +  0.36 x_{2}\\
 x_{106}   &  -0.727272727273 & +  0.09 x_{6} & +  0.00 x_{5} & +  1.00 x_{20} & +  0.00 x_{46} & +  0.36 x_{61} & +  0.45 x_{37} & +  0.27 x_{2}\\
 x_{107}   &  -0.090909090909 & +  0.64 x_{6} & +  0.00 x_{5} & +  0.17 x_{20} & +  0.00 x_{46} & +  0.88 x_{61} & +  0.52 x_{37} & +  0.41 x_{2}\\
 x_{108}   &  -0.545454545455 & +  0.82 x_{6} & +  1.00 x_{5} & +  0.33 x_{20} & +  0.00 x_{46} & +  0.94 x_{61} & +  0.76 x_{37} & +  0.45 x_{2}\\
 x_{109}   &  -0.090909090909 & +  0.64 x_{6} & +  0.00 x_{5} & +  0.33 x_{20} & +  1.00 x_{46} & +  0.21 x_{61} & +  0.85 x_{37} & +  0.91 x_{2}\\
 x_{110}   &  -0.545454545455 & +  0.82 x_{6} & +  1.00 x_{5} & +  0.83 x_{20} & +  0.00 x_{46} & +  0.94 x_{61} & +  0.76 x_{37} & +  0.95 x_{2}\\
 x_{111}   &  -0.454545454545 & +  0.18 x_{6} & +  0.00 x_{5} & +  0.17 x_{20} & +  0.00 x_{46} & +  0.06 x_{61} & +  0.24 x_{37} & +  0.05 x_{2}\\
 x_{112}   &  -0.272727272727 & +  0.91 x_{6} & +  1.00 x_{5} & +  0.17 x_{20} & +  0.00 x_{46} & +  0.97 x_{61} & +  0.88 x_{37} & +  0.23 x_{2}\\
 x_{113}   &  -0.090909090909 & +  0.64 x_{6} & +  1.00 x_{5} & +  0.67 x_{20} & +  1.00 x_{46} & +  0.88 x_{61} & +  0.52 x_{37} & +  0.91 x_{2}\\
 x_{114}   &  -0.0909090909091 & +  0.64 x_{6} & +  1.00 x_{5} & +  0.67 x_{20} & +  1.00 x_{46} & +  0.88 x_{61} & +  0.52 x_{37} & +  0.91 x_{2}\\
 x_{115}   &  -0.545454545455 & +  0.82 x_{6} & +  1.00 x_{5} & +  0.83 x_{20} & +  0.00 x_{46} & +  0.94 x_{61} & +  0.76 x_{37} & +  0.95 x_{2}\\
 x_{116}   &  -0.090909090909 & +  0.64 x_{6} & +  1.00 x_{5} & +  0.33 x_{20} & +  0.00 x_{46} & +  0.21 x_{61} & +  0.85 x_{37} & +  0.91 x_{2}\\
 x_{117}   &  -0.0909090909091 & +  0.64 x_{6} & +  0.00 x_{5} & +  0.67 x_{20} & +  0.00 x_{46} & +  0.88 x_{61} & +  0.52 x_{37} & +  0.91 x_{2}\\
 x_{118}   &  -0.636363636364 & +  0.45 x_{6} & +  1.00 x_{5} & +  0.33 x_{20} & +  0.00 x_{46} & +  0.48 x_{61} & +  0.94 x_{37} & +  0.36 x_{2}\\
 x_{119}   &  -0.454545454545 & +  0.18 x_{6} & +  1.00 x_{5} & +  1.00 x_{20} & +  0.00 x_{46} & +  0.73 x_{61} & +  0.91 x_{37} & +  0.55 x_{2}\\
\hline
z    &  4.0 & -0.00 x_{6} & -2.00 x_{5} & -1.00 x_{20} & +  0.00 x_{46} & +  0.00 x_{61} & -0.00 x_{37} & -0.00 x_{2}\\
\end{array}\]
Forming the dual dictionary:

The Final Dual Dictionary is: 

 Final primal dictionary obtained: 
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{8}   &  7.25000000001 & + 12.83 x_{78} & -11.75 x_{5} & -2.67 x_{20} & +  0.25 x_{12} & -15.42 x_{73} & +  0.17 x_{29} & + 11.92 x_{2}\\
 x_{1}   &  -3.57398138862e-13 & -1.00 x_{78} & +  0.00 x_{5} & +  0.00 x_{20} & -0.00 x_{12} & +  1.00 x_{73} & +  1.00 x_{29} & -1.00 x_{2}\\
 x_{3}   &  2.0  &   & +  1.00 x_{5} & +  1.00 x_{20} &    &   & -1.00 x_{29} &   \\
 x_{11}   &  66.5 & -9.67 x_{78} & + 11.50 x_{5} & + 28.33 x_{20} & -1.50 x_{12} & + 12.83 x_{73} & -22.33 x_{29} & -22.83 x_{2}\\
 x_{7}   &  5.0 & -0.33 x_{78} & +  1.00 x_{5} & +  1.17 x_{20} & -0.00 x_{12} & +  0.67 x_{73} & -1.67 x_{29} & -1.17 x_{2}\\
 x_{15}   &  8.71525074331e-15 & +  0.00 x_{78} & -0.00 x_{5} & +  0.50 x_{20} &   & -0.00 x_{73} & +  0.00 x_{29} & +  0.50 x_{2}\\
 x_{4}   &  1.75 & -2.50 x_{78} & +  0.75 x_{5} & +  2.00 x_{20} & -0.25 x_{12} & +  2.75 x_{73} & +  0.50 x_{29} & -4.25 x_{2}\\
 x_{46}   &  7.25000000001 & + 12.83 x_{78} & -11.75 x_{5} & -3.17 x_{20} & +  0.25 x_{12} & -14.42 x_{73} & +  0.17 x_{29} & + 11.42 x_{2}\\
 x_{16}   &  0.999999999999 & -0.33 x_{78} & +  1.00 x_{5} & -0.83 x_{20} & -0.00 x_{12} & +  1.67 x_{73} & -0.67 x_{29} & -1.17 x_{2}\\
 x_{17}   &  0.749999999999 & -1.83 x_{78} & +  0.75 x_{5} & -1.83 x_{20} & +  0.75 x_{12} & +  3.42 x_{73} & +  0.83 x_{29} & -2.42 x_{2}\\
 x_{14}   &  -1.32308747292e-12 & -1.67 x_{78} & +  1.00 x_{5} & -1.17 x_{20} & -0.00 x_{12} & +  3.33 x_{73} & -0.33 x_{29} & -2.83 x_{2}\\
 x_{19}   &  7.0 & +  8.00 x_{78} & -8.00 x_{5} & -5.00 x_{20} & -0.00 x_{12} & -7.00 x_{73} & +  0.00 x_{29} & +  5.00 x_{2}\\
 x_{9}   &  9.24999999999 & -19.17 x_{78} & -3.75 x_{5} & +  5.83 x_{20} & -1.75 x_{12} & + 21.58 x_{73} & +  9.17 x_{29} & -23.58 x_{2}\\
 x_{21}   &  5.0 & +  6.00 x_{78} & -6.00 x_{5} & -2.50 x_{20} & +  0.00 x_{12} & -6.00 x_{73} & +  0.00 x_{29} & +  4.50 x_{2}\\
 x_{13}   &  1.5 & +  3.00 x_{78} & -2.50 x_{5} & -0.50 x_{20} & +  0.50 x_{12} & -3.50 x_{73} & +  0.00 x_{29} & +  3.00 x_{2}\\
 x_{23}   &  1.0 & +  0.33 x_{78} & +  0.00 x_{5} & -0.17 x_{20} & -0.00 x_{12} & +  0.33 x_{73} & -0.33 x_{29} & -0.83 x_{2}\\
 x_{24}   &  6.0 & +  7.00 x_{78} & -7.00 x_{5} & -4.50 x_{20} & -0.00 x_{12} & -6.00 x_{73} & +  0.00 x_{29} & +  4.50 x_{2}\\
 x_{25}   &  2.27248775353e-16 & -0.00 x_{78} & +  0.00 x_{5} & +  1.00 x_{20} & -0.00 x_{12} & +  0.00 x_{73} & -0.00 x_{29} & -0.00 x_{2}\\
 x_{26}   &  7.0 & +  9.33 x_{78} & -9.00 x_{5} & -3.17 x_{20} & +  0.00 x_{12} & -9.67 x_{73} & -0.33 x_{29} & +  7.17 x_{2}\\
 x_{27}   &  -8.14161238427e-13 & -1.00 x_{78} & +  1.00 x_{5} & +  0.00 x_{20} & -0.00 x_{12} & +  2.00 x_{73} & -0.00 x_{29} & -2.00 x_{2}\\
 x_{18}   &  7.0 & +  8.67 x_{78} & -9.00 x_{5} & -4.33 x_{20} & +  0.00 x_{12} & -8.33 x_{73} & +  0.33 x_{29} & +  6.33 x_{2}\\
 x_{22}   &  -1.11285980431e-12 & -1.33 x_{78} & +  1.00 x_{5} & -0.83 x_{20} & -0.00 x_{12} & +  2.67 x_{73} & +  0.33 x_{29} & -2.17 x_{2}\\
 x_{30}   &  -0  &    &    &    &    &   & +  1.00 x_{29} &   \\
 x_{31}   &  13.0 & + 17.33 x_{78} & -17.00 x_{5} & -7.67 x_{20} & +  0.00 x_{12} & -17.67 x_{73} & +  0.67 x_{29} & + 13.67 x_{2}\\
 x_{32}   &  8.0 & + 10.00 x_{78} & -10.00 x_{5} & -4.00 x_{20} & +  0.00 x_{12} & -10.00 x_{73} & +  1.00 x_{29} & +  8.00 x_{2}\\
 x_{33}   &  9.0 & + 11.00 x_{78} & -12.00 x_{5} & -4.50 x_{20} & +  0.00 x_{12} & -11.00 x_{73} & +  1.00 x_{29} & +  8.50 x_{2}\\
 x_{34}   &  3.0 & +  3.00 x_{78} & -4.00 x_{5} & -0.50 x_{20} & +  0.00 x_{12} & -3.00 x_{73} & +  1.00 x_{29} & +  2.50 x_{2}\\
 x_{35}   &  6.0 & +  7.00 x_{78} & -7.00 x_{5} & -2.50 x_{20} & +  0.00 x_{12} & -7.00 x_{73} & +  1.00 x_{29} & +  5.50 x_{2}\\
 x_{36}   &  1.0 & +  1.00 x_{78} & -2.00 x_{5} & -0.00 x_{20} & -0.00 x_{12} & -1.00 x_{73} & +  1.00 x_{29} & +  1.00 x_{2}\\
 x_{37}   &  6.0 & +  8.33 x_{78} & -9.00 x_{5} & -3.67 x_{20} & +  0.00 x_{12} & -8.67 x_{73} & +  0.67 x_{29} & +  6.67 x_{2}\\
 x_{38}   &  7.0 & +  9.33 x_{78} & -9.00 x_{5} & -3.67 x_{20} & +  0.00 x_{12} & -9.67 x_{73} & +  0.67 x_{29} & +  7.67 x_{2}\\
 x_{39}   &  6.0 & +  8.33 x_{78} & -8.00 x_{5} & -3.67 x_{20} & +  0.00 x_{12} & -8.67 x_{73} & +  0.67 x_{29} & +  6.67 x_{2}\\
 x_{40}   &  10.0 & + 13.33 x_{78} & -13.00 x_{5} & -5.67 x_{20} & +  0.00 x_{12} & -13.67 x_{73} & +  0.67 x_{29} & + 10.67 x_{2}\\
 x_{41}   &  6.0 & +  7.00 x_{78} & -8.00 x_{5} & -2.50 x_{20} & +  0.00 x_{12} & -7.00 x_{73} & +  1.00 x_{29} & +  5.50 x_{2}\\
 x_{42}   &  6.0 & +  8.33 x_{78} & -9.00 x_{5} & -3.67 x_{20} & +  0.00 x_{12} & -8.67 x_{73} & +  0.67 x_{29} & +  6.67 x_{2}\\
 x_{43}   &  8.0 & + 10.33 x_{78} & -11.00 x_{5} & -3.67 x_{20} & +  0.00 x_{12} & -10.67 x_{73} & +  0.67 x_{29} & +  8.67 x_{2}\\
 x_{44}   &  8.0 & + 10.00 x_{78} & -11.00 x_{5} & -4.00 x_{20} & +  0.00 x_{12} & -10.00 x_{73} & +  1.00 x_{29} & +  8.00 x_{2}\\
 x_{45}   &  14.0 & + 18.33 x_{78} & -18.00 x_{5} & -7.67 x_{20} & +  0.00 x_{12} & -18.67 x_{73} & +  0.67 x_{29} & + 14.67 x_{2}\\
 x_{28}   &  9.0 & + 12.00 x_{78} & -12.00 x_{5} & -5.50 x_{20} & +  0.00 x_{12} & -12.00 x_{73} & +  1.00 x_{29} & +  9.50 x_{2}\\
 x_{10}   &  0.749999999998 & -2.17 x_{78} & +  0.75 x_{5} & -2.17 x_{20} & -0.25 x_{12} & +  4.08 x_{73} & +  0.17 x_{29} & -3.08 x_{2}\\
 x_{48}   &  10.25 & + 16.17 x_{78} & -14.75 x_{5} & -5.33 x_{20} & +  0.25 x_{12} & -17.08 x_{73} & +  0.83 x_{29} & + 13.58 x_{2}\\
 x_{49}   &  15.25 & + 21.83 x_{78} & -20.75 x_{5} & -8.67 x_{20} & +  0.25 x_{12} & -22.42 x_{73} & +  1.17 x_{29} & + 17.92 x_{2}\\
 x_{50}   &  12.25 & + 18.50 x_{78} & -17.75 x_{5} & -6.50 x_{20} & +  0.25 x_{12} & -19.75 x_{73} & +  0.50 x_{29} & + 15.75 x_{2}\\
 x_{51}   &  1.0 & +  1.00 x_{78} & -1.00 x_{5} & -1.00 x_{20} & -0.00 x_{12} & +  0.00 x_{73} & +  0.00 x_{29} & -0.00 x_{2}\\
 x_{52}   &  2.0 & +  0.67 x_{78} & -1.00 x_{5} & -2.83 x_{20} & -0.00 x_{12} & +  1.67 x_{73} & +  0.33 x_{29} & -1.17 x_{2}\\
 x_{53}   &  3.0 & +  2.67 x_{78} & -3.00 x_{5} & -3.83 x_{20} & -0.00 x_{12} & -0.33 x_{73} & +  0.33 x_{29} & +  0.83 x_{2}\\
 x_{54}   &  11.25 & + 17.17 x_{78} & -15.75 x_{5} & -5.83 x_{20} & +  0.25 x_{12} & -18.08 x_{73} & +  0.83 x_{29} & + 14.08 x_{2}\\
 x_{55}   &  11.25 & + 16.50 x_{78} & -15.75 x_{5} & -6.50 x_{20} & +  0.25 x_{12} & -16.75 x_{73} & +  0.50 x_{29} & + 13.75 x_{2}\\
 x_{56}   &  8.0 & + 10.00 x_{78} & -10.00 x_{5} & -5.50 x_{20} & +  0.00 x_{12} & -9.00 x_{73} & +  1.00 x_{29} & +  7.50 x_{2}\\
 x_{57}   &  2.0 & +  0.67 x_{78} & -1.00 x_{5} & -2.83 x_{20} & -0.00 x_{12} & +  1.67 x_{73} & +  0.33 x_{29} & -1.17 x_{2}\\
 x_{58}   &  2.0 & +  1.67 x_{78} & -2.00 x_{5} & -1.33 x_{20} & -0.00 x_{12} & -0.33 x_{73} & +  0.33 x_{29} & +  0.33 x_{2}\\
 x_{59}   &  12.25 & + 19.17 x_{78} & -17.75 x_{5} & -5.33 x_{20} & +  0.25 x_{12} & -21.08 x_{73} & +  0.83 x_{29} & + 16.58 x_{2}\\
 x_{60}   &  1.0 & +  0.67 x_{78} & -1.00 x_{5} & -1.33 x_{20} & -0.00 x_{12} & +  0.67 x_{73} & +  0.33 x_{29} & +  0.33 x_{2}\\
 x_{47}   &  3.0 & +  3.67 x_{78} & -4.00 x_{5} & -2.83 x_{20} & +  0.00 x_{12} & -2.33 x_{73} & +  0.33 x_{29} & +  1.83 x_{2}\\
 x_{62}   &  6.0 & +  8.00 x_{78} & -8.00 x_{5} & -4.50 x_{20} & +  0.00 x_{12} & -7.00 x_{73} & +  1.00 x_{29} & +  6.50 x_{2}\\
 x_{63}   &  3.0 & +  3.67 x_{78} & -4.00 x_{5} & -2.83 x_{20} & -0.00 x_{12} & -2.33 x_{73} & +  0.33 x_{29} & +  1.83 x_{2}\\
 x_{64}   &  8.0 & + 10.00 x_{78} & -10.00 x_{5} & -5.00 x_{20} & +  0.00 x_{12} & -9.00 x_{73} & +  1.00 x_{29} & +  8.00 x_{2}\\
 x_{65}   &  2.0 & +  2.67 x_{78} & -2.00 x_{5} & -0.83 x_{20} & +  0.00 x_{12} & -2.33 x_{73} & +  0.33 x_{29} & +  2.83 x_{2}\\
 x_{66}   &  8.0 & +  9.00 x_{78} & -9.00 x_{5} & -5.50 x_{20} & -0.00 x_{12} & -7.00 x_{73} & +  1.00 x_{29} & +  5.50 x_{2}\\
 x_{67}   &  3.0 & +  3.67 x_{78} & -4.00 x_{5} & -2.83 x_{20} & -0.00 x_{12} & -2.33 x_{73} & +  0.33 x_{29} & +  1.83 x_{2}\\
 x_{68}   &  0.999999999999 & -0.00 x_{78} & +  0.00 x_{5} & -2.00 x_{20} & -0.00 x_{12} & +  2.00 x_{73} & -0.00 x_{29} & -1.00 x_{2}\\
 x_{69}   &  8.25000000001 & + 13.50 x_{78} & -12.75 x_{5} & -4.00 x_{20} & +  0.25 x_{12} & -14.75 x_{73} & +  0.50 x_{29} & + 12.25 x_{2}\\
 x_{70}   &  4.0 & +  5.33 x_{78} & -5.00 x_{5} & -2.67 x_{20} & +  0.00 x_{12} & -4.67 x_{73} & +  0.67 x_{29} & +  4.67 x_{2}\\
 x_{72}   &  7.25000000001 & + 13.83 x_{78} & -12.75 x_{5} & -2.67 x_{20} & +  0.25 x_{12} & -15.42 x_{73} & +  0.17 x_{29} & + 12.92 x_{2}\\
 x_{71}   &  7.25 & + 12.83 x_{78} & -11.75 x_{5} & -2.67 x_{20} & +  0.25 x_{12} & -13.42 x_{73} & +  0.17 x_{29} & + 10.92 x_{2}\\
 x_{61}   &  -6.64884813872e-13 & -0.33 x_{78} & +  0.00 x_{5} & -0.83 x_{20} & -0.00 x_{12} & +  1.67 x_{73} & +  0.33 x_{29} & -1.17 x_{2}\\
 x_{74}   &  -3.72901362567e-13 & -0.00 x_{78} & +  1.00 x_{5} & +  0.00 x_{20} & -0.00 x_{12} & +  1.00 x_{73} & -0.00 x_{29} & -0.00 x_{2}\\
 x_{75}   &  11.25 & + 19.17 x_{78} & -18.75 x_{5} & -6.33 x_{20} & +  0.25 x_{12} & -20.08 x_{73} & +  0.83 x_{29} & + 16.58 x_{2}\\
 x_{76}   &  5.31987648376e-14 & -0.00 x_{78} & +  0.00 x_{5} & +  0.00 x_{20} & +  0.00 x_{12} & +  1.00 x_{73} & -0.00 x_{29} & -0.00 x_{2}\\
 x_{77}   &  4.0 & +  5.67 x_{78} & -5.00 x_{5} & -2.33 x_{20} & +  0.00 x_{12} & -5.33 x_{73} & +  0.33 x_{29} & +  4.33 x_{2}\\
 x_{6}   &  6.55031584529e-15 & +  0.00 x_{78} & +  1.00 x_{5} & +  1.50 x_{20} & +  0.00 x_{12} & -0.00 x_{73} & -1.00 x_{29} & -0.50 x_{2}\\
 x_{79}   &  11.25 & + 18.50 x_{78} & -17.75 x_{5} & -5.50 x_{20} & +  0.25 x_{12} & -19.75 x_{73} & +  0.50 x_{29} & + 15.75 x_{2}\\
 x_{80}   &  8.25000000001 & + 14.83 x_{78} & -12.75 x_{5} & -3.67 x_{20} & +  0.25 x_{12} & -15.42 x_{73} & +  0.17 x_{29} & + 12.92 x_{2}\\
 x_{81}   &  5.0 & +  7.67 x_{78} & -8.00 x_{5} & -2.83 x_{20} & +  0.00 x_{12} & -7.33 x_{73} & +  0.33 x_{29} & +  5.83 x_{2}\\
 x_{82}   &  4.52624049352e-13 & +  1.00 x_{78} & -1.00 x_{5} & +  0.50 x_{20} & +  0.00 x_{12} & -1.00 x_{73} & +  0.00 x_{29} & +  1.50 x_{2}\\
 x_{83}   &  5.0 & +  7.00 x_{78} & -6.00 x_{5} & -2.00 x_{20} & +  0.00 x_{12} & -6.00 x_{73} & +  0.00 x_{29} & +  5.00 x_{2}\\
 x_{84}   &  1.56029703047e-13 & +  0.67 x_{78} & -0.00 x_{5} & +  0.67 x_{20} & +  0.00 x_{12} & -0.33 x_{73} & -0.67 x_{29} & +  0.33 x_{2}\\
 x_{85}   &  5.0 & +  7.67 x_{78} & -8.00 x_{5} & -2.33 x_{20} & +  0.00 x_{12} & -7.33 x_{73} & +  0.33 x_{29} & +  6.33 x_{2}\\
 x_{86}   &  4.47974990436e-13 & +  1.00 x_{78} & -1.00 x_{5} & -0.00 x_{20} & +  0.00 x_{12} & -1.00 x_{73} & +  0.00 x_{29} & +  1.00 x_{2}\\
 x_{87}   &  12.25 & + 20.17 x_{78} & -19.75 x_{5} & -6.83 x_{20} & +  0.25 x_{12} & -21.08 x_{73} & +  0.83 x_{29} & + 17.08 x_{2}\\
 x_{88}   &  11.25 & + 19.17 x_{78} & -18.75 x_{5} & -6.33 x_{20} & +  0.25 x_{12} & -20.08 x_{73} & +  0.83 x_{29} & + 16.58 x_{2}\\
 x_{89}   &  3.0 & +  5.00 x_{78} & -5.00 x_{5} & -2.00 x_{20} & +  0.00 x_{12} & -4.00 x_{73} & +  0.00 x_{29} & +  3.00 x_{2}\\
 x_{90}   &  -3.63181706931e-14 & +  1.00 x_{78} & -1.00 x_{5} & -0.00 x_{20} & -0.00 x_{12} & +  0.00 x_{73} & -0.00 x_{29} & -0.00 x_{2}\\
 x_{91}   &  5.0 & +  7.00 x_{78} & -7.00 x_{5} & -2.50 x_{20} & +  0.00 x_{12} & -6.00 x_{73} & +  0.00 x_{29} & +  4.50 x_{2}\\
 x_{92}   &  12.25 & + 19.83 x_{78} & -18.75 x_{5} & -5.17 x_{20} & +  0.25 x_{12} & -20.42 x_{73} & +  0.17 x_{29} & + 16.42 x_{2}\\
 x_{93}   &  2.0 & +  3.00 x_{78} & -2.00 x_{5} & -1.00 x_{20} & +  0.00 x_{12} & -2.00 x_{73} & +  0.00 x_{29} & +  2.00 x_{2}\\
 x_{94}   &  -4.43256542582e-14 & +  1.00 x_{78} & +  0.00 x_{5} & -0.00 x_{20} & -0.00 x_{12} & +  0.00 x_{73} & +  0.00 x_{29} & -0.00 x_{2}\\
 x_{95}   &  11.25 & + 18.83 x_{78} & -16.75 x_{5} & -5.17 x_{20} & +  0.25 x_{12} & -19.42 x_{73} & +  0.17 x_{29} & + 15.42 x_{2}\\
 x_{96}   &  11.25 & + 19.17 x_{78} & -17.75 x_{5} & -6.33 x_{20} & +  0.25 x_{12} & -20.08 x_{73} & +  0.83 x_{29} & + 16.58 x_{2}\\
 x_{97}   &  11.25 & + 19.17 x_{78} & -18.75 x_{5} & -5.83 x_{20} & +  0.25 x_{12} & -20.08 x_{73} & +  0.83 x_{29} & + 16.08 x_{2}\\
 x_{98}   &  10.25 & + 17.17 x_{78} & -15.75 x_{5} & -3.33 x_{20} & +  0.25 x_{12} & -18.08 x_{73} & -0.17 x_{29} & + 14.58 x_{2}\\
 x_{99}   &  4.0 & +  5.67 x_{78} & -5.00 x_{5} & -2.33 x_{20} & +  0.00 x_{12} & -5.33 x_{73} & +  0.33 x_{29} & +  4.33 x_{2}\\
 x_{100}   &  3.0 & +  4.67 x_{78} & -5.00 x_{5} & -1.33 x_{20} & +  0.00 x_{12} & -4.33 x_{73} & +  0.33 x_{29} & +  3.33 x_{2}\\
 x_{101}   &  5.0 & +  7.00 x_{78} & -7.00 x_{5} & -2.00 x_{20} & +  0.00 x_{12} & -6.00 x_{73} & +  0.00 x_{29} & +  5.00 x_{2}\\
 x_{102}   &  1.0 & +  2.33 x_{78} & -2.00 x_{5} & +  0.33 x_{20} & +  0.00 x_{12} & -1.67 x_{73} & -0.33 x_{29} & +  1.67 x_{2}\\
 x_{103}   &  5.0 & +  7.00 x_{78} & -7.00 x_{5} & -2.00 x_{20} & +  0.00 x_{12} & -7.00 x_{73} & +  0.00 x_{29} & +  6.00 x_{2}\\
 x_{104}   &  5.0 & +  7.00 x_{78} & -6.00 x_{5} & -2.00 x_{20} & +  0.00 x_{12} & -7.00 x_{73} & +  0.00 x_{29} & +  6.00 x_{2}\\
 x_{105}   &  10.25 & + 17.83 x_{78} & -15.75 x_{5} & -4.17 x_{20} & +  0.25 x_{12} & -19.42 x_{73} & +  0.17 x_{29} & + 15.42 x_{2}\\
 x_{106}   &  2.0 & +  3.67 x_{78} & -4.00 x_{5} & -0.83 x_{20} & +  0.00 x_{12} & -3.33 x_{73} & +  0.33 x_{29} & +  2.83 x_{2}\\
 x_{107}   &  3.0 & +  4.00 x_{78} & -4.00 x_{5} & -1.50 x_{20} & +  0.00 x_{12} & -3.00 x_{73} & +  0.00 x_{29} & +  2.50 x_{2}\\
 x_{108}   &  4.0 & +  6.00 x_{78} & -5.00 x_{5} & -2.00 x_{20} & +  0.00 x_{12} & -5.00 x_{73} & +  0.00 x_{29} & +  4.00 x_{2}\\
 x_{109}   &  12.25 & + 19.83 x_{78} & -18.75 x_{5} & -5.17 x_{20} & +  0.25 x_{12} & -21.42 x_{73} & +  0.17 x_{29} & + 17.42 x_{2}\\
 x_{110}   &  4.0 & +  6.00 x_{78} & -5.00 x_{5} & -1.50 x_{20} & +  0.00 x_{12} & -5.00 x_{73} & +  0.00 x_{29} & +  4.50 x_{2}\\
 x_{111}   &  1.0 & +  2.00 x_{78} & -2.00 x_{5} & -0.50 x_{20} & +  0.00 x_{12} & -2.00 x_{73} & +  0.00 x_{29} & +  1.50 x_{2}\\
 x_{112}   &  5.0 & +  7.00 x_{78} & -6.00 x_{5} & -2.50 x_{20} & +  0.00 x_{12} & -6.00 x_{73} & +  0.00 x_{29} & +  4.50 x_{2}\\
 x_{113}   &  10.25 & + 16.83 x_{78} & -14.75 x_{5} & -4.17 x_{20} & +  0.25 x_{12} & -17.42 x_{73} & +  0.17 x_{29} & + 14.42 x_{2}\\
 x_{114}   &  10.25 & + 16.83 x_{78} & -14.75 x_{5} & -4.17 x_{20} & +  0.25 x_{12} & -17.42 x_{73} & +  0.17 x_{29} & + 14.42 x_{2}\\
 x_{115}   &  4.0 & +  6.00 x_{78} & -5.00 x_{5} & -1.50 x_{20} & +  0.00 x_{12} & -5.00 x_{73} & +  0.00 x_{29} & +  4.50 x_{2}\\
 x_{116}   &  5.0 & +  7.00 x_{78} & -6.00 x_{5} & -2.00 x_{20} & +  0.00 x_{12} & -7.00 x_{73} & +  0.00 x_{29} & +  6.00 x_{2}\\
 x_{117}   &  3.0 & +  4.00 x_{78} & -4.00 x_{5} & -1.00 x_{20} & +  0.00 x_{12} & -3.00 x_{73} & +  0.00 x_{29} & +  3.00 x_{2}\\
 x_{118}   &  5.0 & +  7.67 x_{78} & -7.00 x_{5} & -2.83 x_{20} & +  0.00 x_{12} & -7.33 x_{73} & +  0.33 x_{29} & +  5.83 x_{2}\\
 x_{119}   &  5.0 & +  7.33 x_{78} & -7.00 x_{5} & -2.67 x_{20} & +  0.00 x_{12} & -6.67 x_{73} & +  0.67 x_{29} & +  5.67 x_{2}\\
\hline
z    &  4.0 & +  0.00 x_{78} & -2.00 x_{5} & -1.00 x_{20} & +  0.00 x_{12} & -0.00 x_{73} & +  0.00 x_{29} & +  0.00 x_{2}\\
\end{array}\]
 After cutting plane is added 
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{8}   &  7.25000000001 & + 12.83 x_{78} & -11.75 x_{5} & -2.67 x_{20} & +  0.25 x_{12} & -15.42 x_{73} & +  0.17 x_{29} & + 11.92 x_{2}\\
 x_{1}   &  -3.57398138862e-13 & -1.00 x_{78} & +  0.00 x_{5} & +  0.00 x_{20} & -0.00 x_{12} & +  1.00 x_{73} & +  1.00 x_{29} & -1.00 x_{2}\\
 x_{3}   &  2.0  &   & +  1.00 x_{5} & +  1.00 x_{20} &    &   & -1.00 x_{29} &   \\
 x_{11}   &  66.5 & -9.67 x_{78} & + 11.50 x_{5} & + 28.33 x_{20} & -1.50 x_{12} & + 12.83 x_{73} & -22.33 x_{29} & -22.83 x_{2}\\
 x_{7}   &  5.0 & -0.33 x_{78} & +  1.00 x_{5} & +  1.17 x_{20} & -0.00 x_{12} & +  0.67 x_{73} & -1.67 x_{29} & -1.17 x_{2}\\
 x_{15}   &  8.71525074331e-15 & +  0.00 x_{78} & -0.00 x_{5} & +  0.50 x_{20} &   & -0.00 x_{73} & +  0.00 x_{29} & +  0.50 x_{2}\\
 x_{4}   &  1.75 & -2.50 x_{78} & +  0.75 x_{5} & +  2.00 x_{20} & -0.25 x_{12} & +  2.75 x_{73} & +  0.50 x_{29} & -4.25 x_{2}\\
 x_{46}   &  7.25000000001 & + 12.83 x_{78} & -11.75 x_{5} & -3.17 x_{20} & +  0.25 x_{12} & -14.42 x_{73} & +  0.17 x_{29} & + 11.42 x_{2}\\
 x_{16}   &  0.999999999999 & -0.33 x_{78} & +  1.00 x_{5} & -0.83 x_{20} & -0.00 x_{12} & +  1.67 x_{73} & -0.67 x_{29} & -1.17 x_{2}\\
 x_{17}   &  0.749999999999 & -1.83 x_{78} & +  0.75 x_{5} & -1.83 x_{20} & +  0.75 x_{12} & +  3.42 x_{73} & +  0.83 x_{29} & -2.42 x_{2}\\
 x_{14}   &  -1.32308747292e-12 & -1.67 x_{78} & +  1.00 x_{5} & -1.17 x_{20} & -0.00 x_{12} & +  3.33 x_{73} & -0.33 x_{29} & -2.83 x_{2}\\
 x_{19}   &  7.0 & +  8.00 x_{78} & -8.00 x_{5} & -5.00 x_{20} & -0.00 x_{12} & -7.00 x_{73} & +  0.00 x_{29} & +  5.00 x_{2}\\
 x_{9}   &  9.24999999999 & -19.17 x_{78} & -3.75 x_{5} & +  5.83 x_{20} & -1.75 x_{12} & + 21.58 x_{73} & +  9.17 x_{29} & -23.58 x_{2}\\
 x_{21}   &  5.0 & +  6.00 x_{78} & -6.00 x_{5} & -2.50 x_{20} & +  0.00 x_{12} & -6.00 x_{73} & +  0.00 x_{29} & +  4.50 x_{2}\\
 x_{13}   &  1.5 & +  3.00 x_{78} & -2.50 x_{5} & -0.50 x_{20} & +  0.50 x_{12} & -3.50 x_{73} & +  0.00 x_{29} & +  3.00 x_{2}\\
 x_{23}   &  1.0 & +  0.33 x_{78} & +  0.00 x_{5} & -0.17 x_{20} & -0.00 x_{12} & +  0.33 x_{73} & -0.33 x_{29} & -0.83 x_{2}\\
 x_{24}   &  6.0 & +  7.00 x_{78} & -7.00 x_{5} & -4.50 x_{20} & -0.00 x_{12} & -6.00 x_{73} & +  0.00 x_{29} & +  4.50 x_{2}\\
 x_{25}   &  2.27248775353e-16 & -0.00 x_{78} & +  0.00 x_{5} & +  1.00 x_{20} & -0.00 x_{12} & +  0.00 x_{73} & -0.00 x_{29} & -0.00 x_{2}\\
 x_{26}   &  7.0 & +  9.33 x_{78} & -9.00 x_{5} & -3.17 x_{20} & +  0.00 x_{12} & -9.67 x_{73} & -0.33 x_{29} & +  7.17 x_{2}\\
 x_{27}   &  -8.14161238427e-13 & -1.00 x_{78} & +  1.00 x_{5} & +  0.00 x_{20} & -0.00 x_{12} & +  2.00 x_{73} & -0.00 x_{29} & -2.00 x_{2}\\
 x_{18}   &  7.0 & +  8.67 x_{78} & -9.00 x_{5} & -4.33 x_{20} & +  0.00 x_{12} & -8.33 x_{73} & +  0.33 x_{29} & +  6.33 x_{2}\\
 x_{22}   &  -1.11285980431e-12 & -1.33 x_{78} & +  1.00 x_{5} & -0.83 x_{20} & -0.00 x_{12} & +  2.67 x_{73} & +  0.33 x_{29} & -2.17 x_{2}\\
 x_{30}   &  -0  &    &    &    &    &   & +  1.00 x_{29} &   \\
 x_{31}   &  13.0 & + 17.33 x_{78} & -17.00 x_{5} & -7.67 x_{20} & +  0.00 x_{12} & -17.67 x_{73} & +  0.67 x_{29} & + 13.67 x_{2}\\
 x_{32}   &  8.0 & + 10.00 x_{78} & -10.00 x_{5} & -4.00 x_{20} & +  0.00 x_{12} & -10.00 x_{73} & +  1.00 x_{29} & +  8.00 x_{2}\\
 x_{33}   &  9.0 & + 11.00 x_{78} & -12.00 x_{5} & -4.50 x_{20} & +  0.00 x_{12} & -11.00 x_{73} & +  1.00 x_{29} & +  8.50 x_{2}\\
 x_{34}   &  3.0 & +  3.00 x_{78} & -4.00 x_{5} & -0.50 x_{20} & +  0.00 x_{12} & -3.00 x_{73} & +  1.00 x_{29} & +  2.50 x_{2}\\
 x_{35}   &  6.0 & +  7.00 x_{78} & -7.00 x_{5} & -2.50 x_{20} & +  0.00 x_{12} & -7.00 x_{73} & +  1.00 x_{29} & +  5.50 x_{2}\\
 x_{36}   &  1.0 & +  1.00 x_{78} & -2.00 x_{5} & -0.00 x_{20} & -0.00 x_{12} & -1.00 x_{73} & +  1.00 x_{29} & +  1.00 x_{2}\\
 x_{37}   &  6.0 & +  8.33 x_{78} & -9.00 x_{5} & -3.67 x_{20} & +  0.00 x_{12} & -8.67 x_{73} & +  0.67 x_{29} & +  6.67 x_{2}\\
 x_{38}   &  7.0 & +  9.33 x_{78} & -9.00 x_{5} & -3.67 x_{20} & +  0.00 x_{12} & -9.67 x_{73} & +  0.67 x_{29} & +  7.67 x_{2}\\
 x_{39}   &  6.0 & +  8.33 x_{78} & -8.00 x_{5} & -3.67 x_{20} & +  0.00 x_{12} & -8.67 x_{73} & +  0.67 x_{29} & +  6.67 x_{2}\\
 x_{40}   &  10.0 & + 13.33 x_{78} & -13.00 x_{5} & -5.67 x_{20} & +  0.00 x_{12} & -13.67 x_{73} & +  0.67 x_{29} & + 10.67 x_{2}\\
 x_{41}   &  6.0 & +  7.00 x_{78} & -8.00 x_{5} & -2.50 x_{20} & +  0.00 x_{12} & -7.00 x_{73} & +  1.00 x_{29} & +  5.50 x_{2}\\
 x_{42}   &  6.0 & +  8.33 x_{78} & -9.00 x_{5} & -3.67 x_{20} & +  0.00 x_{12} & -8.67 x_{73} & +  0.67 x_{29} & +  6.67 x_{2}\\
 x_{43}   &  8.0 & + 10.33 x_{78} & -11.00 x_{5} & -3.67 x_{20} & +  0.00 x_{12} & -10.67 x_{73} & +  0.67 x_{29} & +  8.67 x_{2}\\
 x_{44}   &  8.0 & + 10.00 x_{78} & -11.00 x_{5} & -4.00 x_{20} & +  0.00 x_{12} & -10.00 x_{73} & +  1.00 x_{29} & +  8.00 x_{2}\\
 x_{45}   &  14.0 & + 18.33 x_{78} & -18.00 x_{5} & -7.67 x_{20} & +  0.00 x_{12} & -18.67 x_{73} & +  0.67 x_{29} & + 14.67 x_{2}\\
 x_{28}   &  9.0 & + 12.00 x_{78} & -12.00 x_{5} & -5.50 x_{20} & +  0.00 x_{12} & -12.00 x_{73} & +  1.00 x_{29} & +  9.50 x_{2}\\
 x_{10}   &  0.749999999998 & -2.17 x_{78} & +  0.75 x_{5} & -2.17 x_{20} & -0.25 x_{12} & +  4.08 x_{73} & +  0.17 x_{29} & -3.08 x_{2}\\
 x_{48}   &  10.25 & + 16.17 x_{78} & -14.75 x_{5} & -5.33 x_{20} & +  0.25 x_{12} & -17.08 x_{73} & +  0.83 x_{29} & + 13.58 x_{2}\\
 x_{49}   &  15.25 & + 21.83 x_{78} & -20.75 x_{5} & -8.67 x_{20} & +  0.25 x_{12} & -22.42 x_{73} & +  1.17 x_{29} & + 17.92 x_{2}\\
 x_{50}   &  12.25 & + 18.50 x_{78} & -17.75 x_{5} & -6.50 x_{20} & +  0.25 x_{12} & -19.75 x_{73} & +  0.50 x_{29} & + 15.75 x_{2}\\
 x_{51}   &  1.0 & +  1.00 x_{78} & -1.00 x_{5} & -1.00 x_{20} & -0.00 x_{12} & +  0.00 x_{73} & +  0.00 x_{29} & -0.00 x_{2}\\
 x_{52}   &  2.0 & +  0.67 x_{78} & -1.00 x_{5} & -2.83 x_{20} & -0.00 x_{12} & +  1.67 x_{73} & +  0.33 x_{29} & -1.17 x_{2}\\
 x_{53}   &  3.0 & +  2.67 x_{78} & -3.00 x_{5} & -3.83 x_{20} & -0.00 x_{12} & -0.33 x_{73} & +  0.33 x_{29} & +  0.83 x_{2}\\
 x_{54}   &  11.25 & + 17.17 x_{78} & -15.75 x_{5} & -5.83 x_{20} & +  0.25 x_{12} & -18.08 x_{73} & +  0.83 x_{29} & + 14.08 x_{2}\\
 x_{55}   &  11.25 & + 16.50 x_{78} & -15.75 x_{5} & -6.50 x_{20} & +  0.25 x_{12} & -16.75 x_{73} & +  0.50 x_{29} & + 13.75 x_{2}\\
 x_{56}   &  8.0 & + 10.00 x_{78} & -10.00 x_{5} & -5.50 x_{20} & +  0.00 x_{12} & -9.00 x_{73} & +  1.00 x_{29} & +  7.50 x_{2}\\
 x_{57}   &  2.0 & +  0.67 x_{78} & -1.00 x_{5} & -2.83 x_{20} & -0.00 x_{12} & +  1.67 x_{73} & +  0.33 x_{29} & -1.17 x_{2}\\
 x_{58}   &  2.0 & +  1.67 x_{78} & -2.00 x_{5} & -1.33 x_{20} & -0.00 x_{12} & -0.33 x_{73} & +  0.33 x_{29} & +  0.33 x_{2}\\
 x_{59}   &  12.25 & + 19.17 x_{78} & -17.75 x_{5} & -5.33 x_{20} & +  0.25 x_{12} & -21.08 x_{73} & +  0.83 x_{29} & + 16.58 x_{2}\\
 x_{60}   &  1.0 & +  0.67 x_{78} & -1.00 x_{5} & -1.33 x_{20} & -0.00 x_{12} & +  0.67 x_{73} & +  0.33 x_{29} & +  0.33 x_{2}\\
 x_{47}   &  3.0 & +  3.67 x_{78} & -4.00 x_{5} & -2.83 x_{20} & +  0.00 x_{12} & -2.33 x_{73} & +  0.33 x_{29} & +  1.83 x_{2}\\
 x_{62}   &  6.0 & +  8.00 x_{78} & -8.00 x_{5} & -4.50 x_{20} & +  0.00 x_{12} & -7.00 x_{73} & +  1.00 x_{29} & +  6.50 x_{2}\\
 x_{63}   &  3.0 & +  3.67 x_{78} & -4.00 x_{5} & -2.83 x_{20} & -0.00 x_{12} & -2.33 x_{73} & +  0.33 x_{29} & +  1.83 x_{2}\\
 x_{64}   &  8.0 & + 10.00 x_{78} & -10.00 x_{5} & -5.00 x_{20} & +  0.00 x_{12} & -9.00 x_{73} & +  1.00 x_{29} & +  8.00 x_{2}\\
 x_{65}   &  2.0 & +  2.67 x_{78} & -2.00 x_{5} & -0.83 x_{20} & +  0.00 x_{12} & -2.33 x_{73} & +  0.33 x_{29} & +  2.83 x_{2}\\
 x_{66}   &  8.0 & +  9.00 x_{78} & -9.00 x_{5} & -5.50 x_{20} & -0.00 x_{12} & -7.00 x_{73} & +  1.00 x_{29} & +  5.50 x_{2}\\
 x_{67}   &  3.0 & +  3.67 x_{78} & -4.00 x_{5} & -2.83 x_{20} & -0.00 x_{12} & -2.33 x_{73} & +  0.33 x_{29} & +  1.83 x_{2}\\
 x_{68}   &  0.999999999999 & -0.00 x_{78} & +  0.00 x_{5} & -2.00 x_{20} & -0.00 x_{12} & +  2.00 x_{73} & -0.00 x_{29} & -1.00 x_{2}\\
 x_{69}   &  8.25000000001 & + 13.50 x_{78} & -12.75 x_{5} & -4.00 x_{20} & +  0.25 x_{12} & -14.75 x_{73} & +  0.50 x_{29} & + 12.25 x_{2}\\
 x_{70}   &  4.0 & +  5.33 x_{78} & -5.00 x_{5} & -2.67 x_{20} & +  0.00 x_{12} & -4.67 x_{73} & +  0.67 x_{29} & +  4.67 x_{2}\\
 x_{72}   &  7.25000000001 & + 13.83 x_{78} & -12.75 x_{5} & -2.67 x_{20} & +  0.25 x_{12} & -15.42 x_{73} & +  0.17 x_{29} & + 12.92 x_{2}\\
 x_{71}   &  7.25 & + 12.83 x_{78} & -11.75 x_{5} & -2.67 x_{20} & +  0.25 x_{12} & -13.42 x_{73} & +  0.17 x_{29} & + 10.92 x_{2}\\
 x_{61}   &  -6.64884813872e-13 & -0.33 x_{78} & +  0.00 x_{5} & -0.83 x_{20} & -0.00 x_{12} & +  1.67 x_{73} & +  0.33 x_{29} & -1.17 x_{2}\\
 x_{74}   &  -3.72901362567e-13 & -0.00 x_{78} & +  1.00 x_{5} & +  0.00 x_{20} & -0.00 x_{12} & +  1.00 x_{73} & -0.00 x_{29} & -0.00 x_{2}\\
 x_{75}   &  11.25 & + 19.17 x_{78} & -18.75 x_{5} & -6.33 x_{20} & +  0.25 x_{12} & -20.08 x_{73} & +  0.83 x_{29} & + 16.58 x_{2}\\
 x_{76}   &  5.31987648376e-14 & -0.00 x_{78} & +  0.00 x_{5} & +  0.00 x_{20} & +  0.00 x_{12} & +  1.00 x_{73} & -0.00 x_{29} & -0.00 x_{2}\\
 x_{77}   &  4.0 & +  5.67 x_{78} & -5.00 x_{5} & -2.33 x_{20} & +  0.00 x_{12} & -5.33 x_{73} & +  0.33 x_{29} & +  4.33 x_{2}\\
 x_{6}   &  6.55031584529e-15 & +  0.00 x_{78} & +  1.00 x_{5} & +  1.50 x_{20} & +  0.00 x_{12} & -0.00 x_{73} & -1.00 x_{29} & -0.50 x_{2}\\
 x_{79}   &  11.25 & + 18.50 x_{78} & -17.75 x_{5} & -5.50 x_{20} & +  0.25 x_{12} & -19.75 x_{73} & +  0.50 x_{29} & + 15.75 x_{2}\\
 x_{80}   &  8.25000000001 & + 14.83 x_{78} & -12.75 x_{5} & -3.67 x_{20} & +  0.25 x_{12} & -15.42 x_{73} & +  0.17 x_{29} & + 12.92 x_{2}\\
 x_{81}   &  5.0 & +  7.67 x_{78} & -8.00 x_{5} & -2.83 x_{20} & +  0.00 x_{12} & -7.33 x_{73} & +  0.33 x_{29} & +  5.83 x_{2}\\
 x_{82}   &  4.52624049352e-13 & +  1.00 x_{78} & -1.00 x_{5} & +  0.50 x_{20} & +  0.00 x_{12} & -1.00 x_{73} & +  0.00 x_{29} & +  1.50 x_{2}\\
 x_{83}   &  5.0 & +  7.00 x_{78} & -6.00 x_{5} & -2.00 x_{20} & +  0.00 x_{12} & -6.00 x_{73} & +  0.00 x_{29} & +  5.00 x_{2}\\
 x_{84}   &  1.56029703047e-13 & +  0.67 x_{78} & -0.00 x_{5} & +  0.67 x_{20} & +  0.00 x_{12} & -0.33 x_{73} & -0.67 x_{29} & +  0.33 x_{2}\\
 x_{85}   &  5.0 & +  7.67 x_{78} & -8.00 x_{5} & -2.33 x_{20} & +  0.00 x_{12} & -7.33 x_{73} & +  0.33 x_{29} & +  6.33 x_{2}\\
 x_{86}   &  4.47974990436e-13 & +  1.00 x_{78} & -1.00 x_{5} & -0.00 x_{20} & +  0.00 x_{12} & -1.00 x_{73} & +  0.00 x_{29} & +  1.00 x_{2}\\
 x_{87}   &  12.25 & + 20.17 x_{78} & -19.75 x_{5} & -6.83 x_{20} & +  0.25 x_{12} & -21.08 x_{73} & +  0.83 x_{29} & + 17.08 x_{2}\\
 x_{88}   &  11.25 & + 19.17 x_{78} & -18.75 x_{5} & -6.33 x_{20} & +  0.25 x_{12} & -20.08 x_{73} & +  0.83 x_{29} & + 16.58 x_{2}\\
 x_{89}   &  3.0 & +  5.00 x_{78} & -5.00 x_{5} & -2.00 x_{20} & +  0.00 x_{12} & -4.00 x_{73} & +  0.00 x_{29} & +  3.00 x_{2}\\
 x_{90}   &  -3.63181706931e-14 & +  1.00 x_{78} & -1.00 x_{5} & -0.00 x_{20} & -0.00 x_{12} & +  0.00 x_{73} & -0.00 x_{29} & -0.00 x_{2}\\
 x_{91}   &  5.0 & +  7.00 x_{78} & -7.00 x_{5} & -2.50 x_{20} & +  0.00 x_{12} & -6.00 x_{73} & +  0.00 x_{29} & +  4.50 x_{2}\\
 x_{92}   &  12.25 & + 19.83 x_{78} & -18.75 x_{5} & -5.17 x_{20} & +  0.25 x_{12} & -20.42 x_{73} & +  0.17 x_{29} & + 16.42 x_{2}\\
 x_{93}   &  2.0 & +  3.00 x_{78} & -2.00 x_{5} & -1.00 x_{20} & +  0.00 x_{12} & -2.00 x_{73} & +  0.00 x_{29} & +  2.00 x_{2}\\
 x_{94}   &  -4.43256542582e-14 & +  1.00 x_{78} & +  0.00 x_{5} & -0.00 x_{20} & -0.00 x_{12} & +  0.00 x_{73} & +  0.00 x_{29} & -0.00 x_{2}\\
 x_{95}   &  11.25 & + 18.83 x_{78} & -16.75 x_{5} & -5.17 x_{20} & +  0.25 x_{12} & -19.42 x_{73} & +  0.17 x_{29} & + 15.42 x_{2}\\
 x_{96}   &  11.25 & + 19.17 x_{78} & -17.75 x_{5} & -6.33 x_{20} & +  0.25 x_{12} & -20.08 x_{73} & +  0.83 x_{29} & + 16.58 x_{2}\\
 x_{97}   &  11.25 & + 19.17 x_{78} & -18.75 x_{5} & -5.83 x_{20} & +  0.25 x_{12} & -20.08 x_{73} & +  0.83 x_{29} & + 16.08 x_{2}\\
 x_{98}   &  10.25 & + 17.17 x_{78} & -15.75 x_{5} & -3.33 x_{20} & +  0.25 x_{12} & -18.08 x_{73} & -0.17 x_{29} & + 14.58 x_{2}\\
 x_{99}   &  4.0 & +  5.67 x_{78} & -5.00 x_{5} & -2.33 x_{20} & +  0.00 x_{12} & -5.33 x_{73} & +  0.33 x_{29} & +  4.33 x_{2}\\
 x_{100}   &  3.0 & +  4.67 x_{78} & -5.00 x_{5} & -1.33 x_{20} & +  0.00 x_{12} & -4.33 x_{73} & +  0.33 x_{29} & +  3.33 x_{2}\\
 x_{101}   &  5.0 & +  7.00 x_{78} & -7.00 x_{5} & -2.00 x_{20} & +  0.00 x_{12} & -6.00 x_{73} & +  0.00 x_{29} & +  5.00 x_{2}\\
 x_{102}   &  1.0 & +  2.33 x_{78} & -2.00 x_{5} & +  0.33 x_{20} & +  0.00 x_{12} & -1.67 x_{73} & -0.33 x_{29} & +  1.67 x_{2}\\
 x_{103}   &  5.0 & +  7.00 x_{78} & -7.00 x_{5} & -2.00 x_{20} & +  0.00 x_{12} & -7.00 x_{73} & +  0.00 x_{29} & +  6.00 x_{2}\\
 x_{104}   &  5.0 & +  7.00 x_{78} & -6.00 x_{5} & -2.00 x_{20} & +  0.00 x_{12} & -7.00 x_{73} & +  0.00 x_{29} & +  6.00 x_{2}\\
 x_{105}   &  10.25 & + 17.83 x_{78} & -15.75 x_{5} & -4.17 x_{20} & +  0.25 x_{12} & -19.42 x_{73} & +  0.17 x_{29} & + 15.42 x_{2}\\
 x_{106}   &  2.0 & +  3.67 x_{78} & -4.00 x_{5} & -0.83 x_{20} & +  0.00 x_{12} & -3.33 x_{73} & +  0.33 x_{29} & +  2.83 x_{2}\\
 x_{107}   &  3.0 & +  4.00 x_{78} & -4.00 x_{5} & -1.50 x_{20} & +  0.00 x_{12} & -3.00 x_{73} & +  0.00 x_{29} & +  2.50 x_{2}\\
 x_{108}   &  4.0 & +  6.00 x_{78} & -5.00 x_{5} & -2.00 x_{20} & +  0.00 x_{12} & -5.00 x_{73} & +  0.00 x_{29} & +  4.00 x_{2}\\
 x_{109}   &  12.25 & + 19.83 x_{78} & -18.75 x_{5} & -5.17 x_{20} & +  0.25 x_{12} & -21.42 x_{73} & +  0.17 x_{29} & + 17.42 x_{2}\\
 x_{110}   &  4.0 & +  6.00 x_{78} & -5.00 x_{5} & -1.50 x_{20} & +  0.00 x_{12} & -5.00 x_{73} & +  0.00 x_{29} & +  4.50 x_{2}\\
 x_{111}   &  1.0 & +  2.00 x_{78} & -2.00 x_{5} & -0.50 x_{20} & +  0.00 x_{12} & -2.00 x_{73} & +  0.00 x_{29} & +  1.50 x_{2}\\
 x_{112}   &  5.0 & +  7.00 x_{78} & -6.00 x_{5} & -2.50 x_{20} & +  0.00 x_{12} & -6.00 x_{73} & +  0.00 x_{29} & +  4.50 x_{2}\\
 x_{113}   &  10.25 & + 16.83 x_{78} & -14.75 x_{5} & -4.17 x_{20} & +  0.25 x_{12} & -17.42 x_{73} & +  0.17 x_{29} & + 14.42 x_{2}\\
 x_{114}   &  10.25 & + 16.83 x_{78} & -14.75 x_{5} & -4.17 x_{20} & +  0.25 x_{12} & -17.42 x_{73} & +  0.17 x_{29} & + 14.42 x_{2}\\
 x_{115}   &  4.0 & +  6.00 x_{78} & -5.00 x_{5} & -1.50 x_{20} & +  0.00 x_{12} & -5.00 x_{73} & +  0.00 x_{29} & +  4.50 x_{2}\\
 x_{116}   &  5.0 & +  7.00 x_{78} & -6.00 x_{5} & -2.00 x_{20} & +  0.00 x_{12} & -7.00 x_{73} & +  0.00 x_{29} & +  6.00 x_{2}\\
 x_{117}   &  3.0 & +  4.00 x_{78} & -4.00 x_{5} & -1.00 x_{20} & +  0.00 x_{12} & -3.00 x_{73} & +  0.00 x_{29} & +  3.00 x_{2}\\
 x_{118}   &  5.0 & +  7.67 x_{78} & -7.00 x_{5} & -2.83 x_{20} & +  0.00 x_{12} & -7.33 x_{73} & +  0.33 x_{29} & +  5.83 x_{2}\\
 x_{119}   &  5.0 & +  7.33 x_{78} & -7.00 x_{5} & -2.67 x_{20} & +  0.00 x_{12} & -6.67 x_{73} & +  0.67 x_{29} & +  5.67 x_{2}\\
 x_{120}   &  -0.250000000006 & +  0.17 x_{78} & +  0.75 x_{5} & +  0.67 x_{20} & +  0.75 x_{12} & +  0.42 x_{73} & +  0.83 x_{29} & +  0.08 x_{2}\\
 x_{121}   &  -0.499999999995 & +  0.67 x_{78} & +  0.50 x_{5} & +  0.67 x_{20} & +  0.50 x_{12} & +  0.17 x_{73} & +  0.33 x_{29} & +  0.83 x_{2}\\
 x_{122}   &  -0.749999999999 & +  0.50 x_{78} & +  0.25 x_{5} & +  1.00 x_{20} & +  0.25 x_{12} & +  0.25 x_{73} & +  0.50 x_{29} & +  0.25 x_{2}\\
 x_{123}   &  -0.250000000005 & +  0.17 x_{78} & +  0.75 x_{5} & +  0.17 x_{20} & +  0.75 x_{12} & +  0.42 x_{73} & +  0.83 x_{29} & +  0.58 x_{2}\\
 x_{124}   &  -0.749999999999 & +  0.83 x_{78} & +  0.25 x_{5} & +  0.83 x_{20} & +  0.25 x_{12} & +  0.58 x_{73} & +  0.17 x_{29} & +  0.42 x_{2}\\
 x_{125}   &  -0.249999999992 & +  0.17 x_{78} & +  0.75 x_{5} & +  0.17 x_{20} & +  0.75 x_{12} & +  0.42 x_{73} & +  0.83 x_{29} & +  0.58 x_{2}\\
 x_{126}   &  -0.500000000001 & +  1.00 x_{78} & +  0.50 x_{5} & +  0.50 x_{20} & +  0.50 x_{12} & +  0.50 x_{73} & +  1.00 x_{29} & +  1.00 x_{2}\\
 x_{127}   &  -0.749999999998 & +  0.17 x_{78} & +  0.25 x_{5} & +  0.17 x_{20} & +  0.25 x_{12} & +  0.92 x_{73} & +  0.83 x_{29} & +  0.08 x_{2}\\
 x_{128}   &  -0.250000000006 & +  0.83 x_{78} & +  0.75 x_{5} & +  0.33 x_{20} & +  0.75 x_{12} & +  0.08 x_{73} & +  0.17 x_{29} & +  0.42 x_{2}\\
 x_{129}   &  -0.250000000008 & +  0.17 x_{78} & +  0.75 x_{5} & +  0.67 x_{20} & +  0.75 x_{12} & +  0.42 x_{73} & +  0.83 x_{29} & +  0.08 x_{2}\\
 x_{130}   &  -0.250000000007 & +  0.50 x_{78} & +  0.75 x_{5} & +  0.50 x_{20} & +  0.75 x_{12} & +  0.75 x_{73} & +  0.50 x_{29} & +  0.25 x_{2}\\
 x_{131}   &  -0.250000000006 & +  0.83 x_{78} & +  0.75 x_{5} & +  0.83 x_{20} & +  0.75 x_{12} & +  0.08 x_{73} & +  0.17 x_{29} & +  0.92 x_{2}\\
 x_{132}   &  -0.250000000006 & +  0.50 x_{78} & +  0.75 x_{5} & +  0.50 x_{20} & +  0.75 x_{12} & +  0.75 x_{73} & +  0.50 x_{29} & +  0.25 x_{2}\\
 x_{133}   &  -0.250000000007 & +  0.83 x_{78} & +  0.75 x_{5} & +  0.33 x_{20} & +  0.75 x_{12} & +  0.08 x_{73} & +  0.17 x_{29} & +  0.42 x_{2}\\
 x_{134}   &  -0.250000000005 & +  0.50 x_{78} & +  0.75 x_{5} & +  0.00 x_{20} & +  0.75 x_{12} & +  0.75 x_{73} & +  0.50 x_{29} & +  0.75 x_{2}\\
 x_{135}   &  -0.250000000006 & +  0.17 x_{78} & +  0.75 x_{5} & +  0.67 x_{20} & +  0.75 x_{12} & +  0.42 x_{73} & +  0.83 x_{29} & +  0.08 x_{2}\\
 x_{136}   &  -0.250000000005 & +  0.17 x_{78} & +  0.75 x_{5} & +  0.67 x_{20} & +  0.75 x_{12} & +  0.42 x_{73} & +  0.83 x_{29} & +  0.08 x_{2}\\
 x_{137}   &  -0.250000000007 & +  0.83 x_{78} & +  0.75 x_{5} & +  0.33 x_{20} & +  0.75 x_{12} & +  0.08 x_{73} & +  0.17 x_{29} & +  0.42 x_{2}\\
 x_{138}   &  -0.250000000006 & +  0.50 x_{78} & +  0.75 x_{5} & +  0.50 x_{20} & +  0.75 x_{12} & +  0.75 x_{73} & +  0.50 x_{29} & +  0.25 x_{2}\\
 x_{139}   &  -0.250000000006 & +  0.17 x_{78} & +  0.75 x_{5} & +  0.67 x_{20} & +  0.75 x_{12} & +  0.42 x_{73} & +  0.83 x_{29} & +  0.08 x_{2}\\
 x_{140}   &  -0.250000000007 & +  0.83 x_{78} & +  0.75 x_{5} & +  0.83 x_{20} & +  0.75 x_{12} & +  0.08 x_{73} & +  0.17 x_{29} & +  0.92 x_{2}\\
 x_{141}   &  -0.250000000007 & +  0.83 x_{78} & +  0.75 x_{5} & +  0.33 x_{20} & +  0.75 x_{12} & +  0.08 x_{73} & +  0.17 x_{29} & +  0.42 x_{2}\\
 x_{142}   &  -0.250000000007 & +  0.17 x_{78} & +  0.75 x_{5} & +  0.17 x_{20} & +  0.75 x_{12} & +  0.42 x_{73} & +  0.83 x_{29} & +  0.58 x_{2}\\
 x_{143}   &  -0.250000000007 & +  0.17 x_{78} & +  0.75 x_{5} & +  0.17 x_{20} & +  0.75 x_{12} & +  0.42 x_{73} & +  0.83 x_{29} & +  0.58 x_{2}\\
 x_{144}   &  -0.250000000007 & +  0.83 x_{78} & +  0.75 x_{5} & +  0.33 x_{20} & +  0.75 x_{12} & +  0.08 x_{73} & +  0.17 x_{29} & +  0.42 x_{2}\\
 x_{145}   &  -0.250000000007 & +  0.83 x_{78} & +  0.75 x_{5} & +  0.83 x_{20} & +  0.75 x_{12} & +  0.08 x_{73} & +  0.17 x_{29} & +  0.92 x_{2}\\
 x_{146}   &  -0.250000000006 & +  0.83 x_{78} & +  0.75 x_{5} & +  0.33 x_{20} & +  0.75 x_{12} & +  0.08 x_{73} & +  0.17 x_{29} & +  0.42 x_{2}\\
 x_{147}   &  -0.250000000007 & +  0.17 x_{78} & +  0.75 x_{5} & +  0.17 x_{20} & +  0.75 x_{12} & +  0.42 x_{73} & +  0.83 x_{29} & +  0.58 x_{2}\\
 x_{148}   &  -0.250000000008 & +  0.17 x_{78} & +  0.75 x_{5} & +  0.17 x_{20} & +  0.75 x_{12} & +  0.42 x_{73} & +  0.83 x_{29} & +  0.58 x_{2}\\
 x_{149}   &  -0.250000000006 & +  0.17 x_{78} & +  0.75 x_{5} & +  0.17 x_{20} & +  0.75 x_{12} & +  0.42 x_{73} & +  0.83 x_{29} & +  0.58 x_{2}\\
 x_{150}   &  -0.250000000006 & +  0.17 x_{78} & +  0.75 x_{5} & +  0.17 x_{20} & +  0.75 x_{12} & +  0.42 x_{73} & +  0.83 x_{29} & +  0.58 x_{2}\\
\hline
z    &  4.0 & +  0.00 x_{78} & -2.00 x_{5} & -1.00 x_{20} & +  0.00 x_{12} & -0.00 x_{73} & +  0.00 x_{29} & +  0.00 x_{2}\\
\end{array}\]
Forming the dual dictionary:

The Final Dual Dictionary is: 

 Final primal dictionary obtained: 
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{121}   &  0.333333333337 & +  0.11 x_{82} & +  1.11 x_{5} & +  0.67 x_{20} & +  1.11 x_{122} & -1.00 x_{29} & -0.78 x_{6} & +  0.22 x_{12}\\
 x_{120}   &  0.333333333326 & -0.22 x_{82} & +  0.78 x_{5} & +  0.67 x_{20} & +  0.78 x_{122} & -0.00 x_{29} & -0.44 x_{6} & +  0.56 x_{12}\\
 x_{3}   &  2.0  &   & +  1.00 x_{5} & +  1.00 x_{20} &   & -1.00 x_{29} &    &   \\
 x_{11}   &  69.6666666667 & -11.78 x_{82} & -13.78 x_{5} & + 11.33 x_{20} & +  4.22 x_{122} & -12.00 x_{29} & + 12.44 x_{6} & -2.56 x_{12}\\
 x_{7}   &  5.33333333333 & -0.56 x_{82} & -0.56 x_{5} & -0.33 x_{20} & +  0.44 x_{122} & -1.00 x_{29} & +  0.89 x_{6} & -0.11 x_{12}\\
 x_{15}   &  1.49047441056e-14 & +  0.00 x_{82} & +  1.00 x_{5} & +  2.00 x_{20} & -0.00 x_{122} & -1.00 x_{29} & -1.00 x_{6} & +  0.00 x_{12}\\
 x_{73}   &  0.999999999999 & -0.67 x_{82} & +  0.33 x_{5} & +  1.00 x_{20} & +  1.33 x_{122} & -2.00 x_{29} & -1.33 x_{6} & -0.33 x_{12}\\
 x_{46}   &  5.66666666667 & + 13.89 x_{82} & -15.11 x_{5} & -34.67 x_{20} & -2.11 x_{122} & + 19.00 x_{29} & + 17.78 x_{6} & +  0.78 x_{12}\\
 x_{16}   &  2.33333333333 & -1.22 x_{82} & -0.22 x_{5} & -1.33 x_{20} & +  1.78 x_{122} & -2.00 x_{29} & -0.44 x_{6} & -0.44 x_{12}\\
 x_{17}   &  2.33333333333 & -2.89 x_{82} & +  0.11 x_{5} & +  1.67 x_{20} & +  2.11 x_{122} & -3.00 x_{29} & -2.78 x_{6} & +  0.22 x_{12}\\
 x_{14}   &  1.66666666666 & -2.78 x_{82} & -0.78 x_{5} & +  0.33 x_{20} & +  2.22 x_{122} & -3.00 x_{29} & -1.56 x_{6} & -0.56 x_{12}\\
 x_{19}   &  8.0 & +  7.33 x_{82} & -13.67 x_{5} & -29.00 x_{20} & +  1.33 x_{122} & + 12.00 x_{29} & + 12.67 x_{6} & -0.33 x_{12}\\
 x_{9}   &  11.6666666667 & -20.78 x_{82} & -11.78 x_{5} & + 33.33 x_{20} & +  3.22 x_{122} & -6.00 x_{29} & -13.56 x_{6} & -2.56 x_{12}\\
 x_{21}   &  5.0 & +  6.00 x_{82} & -9.00 x_{5} & -19.00 x_{20} & +  0.00 x_{122} & +  9.00 x_{29} & +  9.00 x_{6} & -0.00 x_{12}\\
 x_{2}   &  8.99280649947e-15 & +  0.00 x_{82} & +  2.00 x_{5} & +  3.00 x_{20} & -0.00 x_{122} & -2.00 x_{29} & -2.00 x_{6} & +  0.00 x_{12}\\
 x_{23}   &  1.66666666667 & -0.11 x_{82} & -2.11 x_{5} & -3.67 x_{20} & +  0.89 x_{122} & +  1.00 x_{29} & +  1.78 x_{6} & -0.22 x_{12}\\
 x_{24}   &  7.0 & +  6.33 x_{82} & -11.67 x_{5} & -25.00 x_{20} & +  1.33 x_{122} & + 10.00 x_{29} & + 10.67 x_{6} & -0.33 x_{12}\\
 x_{25}   &  2.45174251271e-16 & -0.00 x_{82} & +  0.00 x_{5} & +  1.00 x_{20} & +  0.00 x_{122} & -0.00 x_{29} & -0.00 x_{6} & -0.00 x_{12}\\
 x_{26}   &  6.66666666667 & +  9.56 x_{82} & -13.44 x_{5} & -28.67 x_{20} & -0.44 x_{122} & + 14.00 x_{29} & + 14.11 x_{6} & +  0.11 x_{12}\\
 x_{27}   &  0.999999999998 & -1.67 x_{82} & -0.67 x_{5} & +  0.00 x_{20} & +  1.33 x_{122} & -1.00 x_{29} & -0.33 x_{6} & -0.33 x_{12}\\
 x_{18}   &  7.33333333333 & +  8.44 x_{82} & -13.56 x_{5} & -28.33 x_{20} & +  0.44 x_{122} & + 13.00 x_{29} & + 12.89 x_{6} & -0.11 x_{12}\\
 x_{22}   &  1.33333333333 & -2.22 x_{82} & -0.22 x_{5} & +  0.67 x_{20} & +  1.78 x_{122} & -2.00 x_{29} & -1.44 x_{6} & -0.44 x_{12}\\
 x_{30}   &  -0  &    &    &    &   & +  1.00 x_{29} &    &   \\
 x_{31}   &  12.6666666667 & + 17.56 x_{82} & -24.44 x_{5} & -53.67 x_{20} & -0.44 x_{122} & + 26.00 x_{29} & + 25.11 x_{6} & +  0.11 x_{12}\\
 x_{32}   &  8.0 & + 10.00 x_{82} & -14.00 x_{5} & -30.00 x_{20} & +  0.00 x_{122} & + 15.00 x_{29} & + 14.00 x_{6} & -0.00 x_{12}\\
 x_{33}   &  9.0 & + 11.00 x_{82} & -17.00 x_{5} & -34.00 x_{20} & +  0.00 x_{122} & + 17.00 x_{29} & + 16.00 x_{6} & -0.00 x_{12}\\
 x_{34}   &  3.0 & +  3.00 x_{82} & -5.00 x_{5} & -8.00 x_{20} & +  0.00 x_{122} & +  5.00 x_{29} & +  4.00 x_{6} & -0.00 x_{12}\\
 x_{35}   &  6.0 & +  7.00 x_{82} & -10.00 x_{5} & -21.00 x_{20} & +  0.00 x_{122} & + 11.00 x_{29} & + 10.00 x_{6} & -0.00 x_{12}\\
 x_{36}   &  1.0 & +  1.00 x_{82} & -2.00 x_{5} & -2.00 x_{20} & +  0.00 x_{122} & +  2.00 x_{29} & +  1.00 x_{6} & -0.00 x_{12}\\
 x_{37}   &  5.66666666667 & +  8.56 x_{82} & -12.44 x_{5} & -25.67 x_{20} & -0.44 x_{122} & + 13.00 x_{29} & + 12.11 x_{6} & +  0.11 x_{12}\\
 x_{38}   &  6.66666666667 & +  9.56 x_{82} & -12.44 x_{5} & -27.67 x_{20} & -0.44 x_{122} & + 14.00 x_{29} & + 13.11 x_{6} & +  0.11 x_{12}\\
 x_{39}   &  5.66666666667 & +  8.56 x_{82} & -11.44 x_{5} & -25.67 x_{20} & -0.44 x_{122} & + 13.00 x_{29} & + 12.11 x_{6} & +  0.11 x_{12}\\
 x_{40}   &  9.66666666667 & + 13.56 x_{82} & -18.44 x_{5} & -40.67 x_{20} & -0.44 x_{122} & + 20.00 x_{29} & + 19.11 x_{6} & +  0.11 x_{12}\\
 x_{41}   &  6.0 & +  7.00 x_{82} & -11.00 x_{5} & -21.00 x_{20} & +  0.00 x_{122} & + 11.00 x_{29} & + 10.00 x_{6} & -0.00 x_{12}\\
 x_{42}   &  5.66666666667 & +  8.56 x_{82} & -12.44 x_{5} & -25.67 x_{20} & -0.44 x_{122} & + 13.00 x_{29} & + 12.11 x_{6} & +  0.11 x_{12}\\
 x_{43}   &  7.66666666667 & + 10.56 x_{82} & -14.44 x_{5} & -29.67 x_{20} & -0.44 x_{122} & + 15.00 x_{29} & + 14.11 x_{6} & +  0.11 x_{12}\\
 x_{44}   &  8.0 & + 10.00 x_{82} & -15.00 x_{5} & -30.00 x_{20} & +  0.00 x_{122} & + 15.00 x_{29} & + 14.00 x_{6} & -0.00 x_{12}\\
 x_{45}   &  13.6666666667 & + 18.56 x_{82} & -25.44 x_{5} & -55.67 x_{20} & -0.44 x_{122} & + 27.00 x_{29} & + 26.11 x_{6} & +  0.11 x_{12}\\
 x_{28}   &  9.0 & + 12.00 x_{82} & -17.00 x_{5} & -37.00 x_{20} & +  0.00 x_{122} & + 18.00 x_{29} & + 17.00 x_{6} & -0.00 x_{12}\\
 x_{10}   &  2.66666666666 & -3.44 x_{82} & -0.44 x_{5} & +  1.33 x_{20} & +  2.56 x_{122} & -4.00 x_{29} & -2.89 x_{6} & -0.89 x_{12}\\
 x_{48}   &  9.33333333333 & + 16.78 x_{82} & -20.22 x_{5} & -46.33 x_{20} & -1.22 x_{122} & + 24.00 x_{29} & + 22.56 x_{6} & +  0.56 x_{12}\\
 x_{49}   &  14.6666666667 & + 22.22 x_{82} & -28.78 x_{5} & -64.67 x_{20} & -0.78 x_{122} & + 32.00 x_{29} & + 30.44 x_{6} & +  0.44 x_{12}\\
 x_{50}   &  11.0 & + 19.33 x_{82} & -23.67 x_{5} & -53.00 x_{20} & -1.67 x_{122} & + 27.00 x_{29} & + 25.67 x_{6} & +  0.67 x_{12}\\
 x_{51}   &  2.0 & +  0.33 x_{82} & -2.67 x_{5} & -5.00 x_{20} & +  1.33 x_{122} & +  1.00 x_{29} & +  1.67 x_{6} & -0.33 x_{12}\\
 x_{52}   &  4.33333333333 & -0.89 x_{82} & -3.89 x_{5} & -7.33 x_{20} & +  3.11 x_{122} & -0.00 x_{29} & +  1.22 x_{6} & -0.78 x_{12}\\
 x_{53}   &  5.33333333333 & +  1.11 x_{82} & -5.89 x_{5} & -12.33 x_{20} & +  3.11 x_{122} & +  2.00 x_{29} & +  3.22 x_{6} & -0.78 x_{12}\\
 x_{54}   &  10.3333333333 & + 17.78 x_{82} & -22.22 x_{5} & -50.33 x_{20} & -1.22 x_{122} & + 26.00 x_{29} & + 24.56 x_{6} & +  0.56 x_{12}\\
 x_{55}   &  11.0 & + 16.67 x_{82} & -21.33 x_{5} & -48.00 x_{20} & -0.33 x_{122} & + 23.00 x_{29} & + 22.33 x_{6} & +  0.33 x_{12}\\
 x_{56}   &  9.0 & +  9.33 x_{82} & -14.67 x_{5} & -32.00 x_{20} & +  1.33 x_{122} & + 14.00 x_{29} & + 13.67 x_{6} & -0.33 x_{12}\\
 x_{57}   &  4.33333333333 & -0.89 x_{82} & -3.89 x_{5} & -7.33 x_{20} & +  3.11 x_{122} & -0.00 x_{29} & +  1.22 x_{6} & -0.78 x_{12}\\
 x_{58}   &  3.33333333333 & +  0.78 x_{82} & -4.22 x_{5} & -7.33 x_{20} & +  1.78 x_{122} & +  2.00 x_{29} & +  2.56 x_{6} & -0.44 x_{12}\\
 x_{59}   &  10.3333333333 & + 20.44 x_{82} & -23.56 x_{5} & -53.33 x_{20} & -2.56 x_{122} & + 29.00 x_{29} & + 26.89 x_{6} & +  0.89 x_{12}\\
 x_{60}   &  2.33333333333 & -0.22 x_{82} & -1.22 x_{5} & -2.33 x_{20} & +  1.78 x_{122} & -1.00 x_{29} & -0.44 x_{6} & -0.44 x_{12}\\
 x_{47}   &  4.33333333333 & +  2.78 x_{82} & -7.22 x_{5} & -14.33 x_{20} & +  1.78 x_{122} & +  5.00 x_{29} & +  5.56 x_{6} & -0.44 x_{12}\\
 x_{62}   &  7.0 & +  7.33 x_{82} & -10.67 x_{5} & -24.00 x_{20} & +  1.33 x_{122} & + 10.00 x_{29} & +  9.67 x_{6} & -0.33 x_{12}\\
 x_{63}   &  4.33333333333 & +  2.78 x_{82} & -7.22 x_{5} & -14.33 x_{20} & +  1.78 x_{122} & +  5.00 x_{29} & +  5.56 x_{6} & -0.44 x_{12}\\
 x_{64}   &  9.0 & +  9.33 x_{82} & -13.67 x_{5} & -30.00 x_{20} & +  1.33 x_{122} & + 13.00 x_{29} & + 12.67 x_{6} & -0.33 x_{12}\\
 x_{65}   &  2.33333333333 & +  2.44 x_{82} & -1.56 x_{5} & -5.33 x_{20} & +  0.44 x_{122} & +  2.00 x_{29} & +  1.89 x_{6} & -0.11 x_{12}\\
 x_{66}   &  10.0 & +  7.67 x_{82} & -15.33 x_{5} & -32.00 x_{20} & +  2.67 x_{122} & + 13.00 x_{29} & + 13.33 x_{6} & -0.67 x_{12}\\
 x_{67}   &  4.33333333333 & +  2.78 x_{82} & -7.22 x_{5} & -14.33 x_{20} & +  1.78 x_{122} & +  5.00 x_{29} & +  5.56 x_{6} & -0.44 x_{12}\\
 x_{68}   &  3.0 & -1.33 x_{82} & -1.33 x_{5} & -3.00 x_{20} & +  2.67 x_{122} & -2.00 x_{29} & -0.67 x_{6} & -0.67 x_{12}\\
 x_{69}   &  7.0 & + 14.33 x_{82} & -15.67 x_{5} & -36.00 x_{20} & -1.67 x_{122} & + 19.00 x_{29} & + 17.67 x_{6} & +  0.67 x_{12}\\
 x_{70}   &  4.66666666667 & +  4.89 x_{82} & -6.11 x_{5} & -14.67 x_{20} & +  0.89 x_{122} & +  6.00 x_{29} & +  5.78 x_{6} & -0.22 x_{12}\\
 x_{72}   &  5.66666666667 & + 14.89 x_{82} & -15.11 x_{5} & -34.67 x_{20} & -2.11 x_{122} & + 19.00 x_{29} & + 17.78 x_{6} & +  0.78 x_{12}\\
 x_{71}   &  6.66666666667 & + 13.22 x_{82} & -15.78 x_{5} & -34.67 x_{20} & -0.78 x_{122} & + 18.00 x_{29} & + 17.44 x_{6} & +  0.44 x_{12}\\
 x_{61}   &  1.33333333333 & -1.22 x_{82} & -1.22 x_{5} & -1.33 x_{20} & +  1.78 x_{122} & -1.00 x_{29} & -0.44 x_{6} & -0.44 x_{12}\\
 x_{74}   &  0.999999999998 & -0.67 x_{82} & +  1.33 x_{5} & +  1.00 x_{20} & +  1.33 x_{122} & -2.00 x_{29} & -1.33 x_{6} & -0.33 x_{12}\\
 x_{75}   &  10.3333333333 & + 19.78 x_{82} & -24.22 x_{5} & -53.33 x_{20} & -1.22 x_{122} & + 27.00 x_{29} & + 25.56 x_{6} & +  0.56 x_{12}\\
 x_{76}   &  0.999999999999 & -0.67 x_{82} & +  0.33 x_{5} & +  1.00 x_{20} & +  1.33 x_{122} & -2.00 x_{29} & -1.33 x_{6} & -0.33 x_{12}\\
 x_{77}   &  4.33333333333 & +  5.44 x_{82} & -7.56 x_{5} & -17.33 x_{20} & +  0.44 x_{122} & +  8.00 x_{29} & +  7.89 x_{6} & -0.11 x_{12}\\
 x_{4}   &  2.0 & -2.67 x_{82} & -2.67 x_{5} & +  2.00 x_{20} & +  0.33 x_{122} & +  1.00 x_{29} & +  0.67 x_{6} & -0.33 x_{12}\\
 x_{79}   &  10.0 & + 19.33 x_{82} & -23.67 x_{5} & -52.00 x_{20} & -1.67 x_{122} & + 27.00 x_{29} & + 25.67 x_{6} & +  0.67 x_{12}\\
 x_{80}   &  7.66666666667 & + 15.22 x_{82} & -16.78 x_{5} & -39.67 x_{20} & -0.78 x_{122} & + 20.00 x_{29} & + 19.44 x_{6} & +  0.44 x_{12}\\
 x_{81}   &  5.33333333333 & +  7.44 x_{82} & -11.56 x_{5} & -23.33 x_{20} & +  0.44 x_{122} & + 11.00 x_{29} & + 10.89 x_{6} & -0.11 x_{12}\\
 x_{13}   &  1.0 & +  3.33 x_{82} & -2.67 x_{5} & -7.00 x_{20} & -0.67 x_{122} & +  4.00 x_{29} & +  3.67 x_{6} & +  0.67 x_{12}\\
 x_{83}   &  6.0 & +  6.33 x_{82} & -9.67 x_{5} & -21.00 x_{20} & +  1.33 x_{122} & +  9.00 x_{29} & +  9.67 x_{6} & -0.33 x_{12}\\
 x_{84}   &  0.333333333333 & +  0.44 x_{82} & -0.56 x_{5} & -1.33 x_{20} & +  0.44 x_{122} & -0.00 x_{29} & +  0.89 x_{6} & -0.11 x_{12}\\
 x_{85}   &  5.33333333333 & +  7.44 x_{82} & -10.56 x_{5} & -21.33 x_{20} & +  0.44 x_{122} & + 10.00 x_{29} & +  9.89 x_{6} & -0.11 x_{12}\\
 x_{86}   &  -1.43773881689e-14 & +  1.00 x_{82} & -1.00 x_{5} & -2.00 x_{20} & -0.00 x_{122} & +  1.00 x_{29} & +  1.00 x_{6} & -0.00 x_{12}\\
 x_{87}   &  11.3333333333 & + 20.78 x_{82} & -26.22 x_{5} & -57.33 x_{20} & -1.22 x_{122} & + 29.00 x_{29} & + 27.56 x_{6} & +  0.56 x_{12}\\
 x_{88}   &  10.3333333333 & + 19.78 x_{82} & -24.22 x_{5} & -53.33 x_{20} & -1.22 x_{122} & + 27.00 x_{29} & + 25.56 x_{6} & +  0.56 x_{12}\\
 x_{89}   &  4.0 & +  4.33 x_{82} & -8.67 x_{5} & -17.00 x_{20} & +  1.33 x_{122} & +  7.00 x_{29} & +  7.67 x_{6} & -0.33 x_{12}\\
 x_{90}   &  0.999999999998 & +  0.33 x_{82} & -2.67 x_{5} & -4.00 x_{20} & +  1.33 x_{122} & +  1.00 x_{29} & +  1.67 x_{6} & -0.33 x_{12}\\
 x_{91}   &  6.0 & +  6.33 x_{82} & -11.67 x_{5} & -23.00 x_{20} & +  1.33 x_{122} & + 10.00 x_{29} & + 10.67 x_{6} & -0.33 x_{12}\\
 x_{92}   &  11.6666666667 & + 20.22 x_{82} & -25.78 x_{5} & -55.67 x_{20} & -0.78 x_{122} & + 28.00 x_{29} & + 27.44 x_{6} & +  0.44 x_{12}\\
 x_{93}   &  3.0 & +  2.33 x_{82} & -3.67 x_{5} & -9.00 x_{20} & +  1.33 x_{122} & +  3.00 x_{29} & +  3.67 x_{6} & -0.33 x_{12}\\
 x_{94}   &  0.999999999998 & +  0.33 x_{82} & -1.67 x_{5} & -4.00 x_{20} & +  1.33 x_{122} & +  1.00 x_{29} & +  1.67 x_{6} & -0.33 x_{12}\\
 x_{95}   &  10.6666666667 & + 19.22 x_{82} & -23.78 x_{5} & -53.67 x_{20} & -0.78 x_{122} & + 27.00 x_{29} & + 26.44 x_{6} & +  0.44 x_{12}\\
 x_{96}   &  10.3333333333 & + 19.78 x_{82} & -23.22 x_{5} & -53.33 x_{20} & -1.22 x_{122} & + 27.00 x_{29} & + 25.56 x_{6} & +  0.56 x_{12}\\
 x_{97}   &  10.3333333333 & + 19.78 x_{82} & -25.22 x_{5} & -54.33 x_{20} & -1.22 x_{122} & + 28.00 x_{29} & + 26.56 x_{6} & +  0.56 x_{12}\\
 x_{98}   &  9.33333333333 & + 17.78 x_{82} & -21.22 x_{5} & -46.33 x_{20} & -1.22 x_{122} & + 24.00 x_{29} & + 23.56 x_{6} & +  0.56 x_{12}\\
 x_{99}   &  4.33333333333 & +  5.44 x_{82} & -7.56 x_{5} & -17.33 x_{20} & +  0.44 x_{122} & +  8.00 x_{29} & +  7.89 x_{6} & -0.11 x_{12}\\
 x_{100}   &  3.33333333333 & +  4.44 x_{82} & -7.56 x_{5} & -14.33 x_{20} & +  0.44 x_{122} & +  7.00 x_{29} & +  6.89 x_{6} & -0.11 x_{12}\\
 x_{101}   &  6.0 & +  6.33 x_{82} & -10.67 x_{5} & -21.00 x_{20} & +  1.33 x_{122} & +  9.00 x_{29} & +  9.67 x_{6} & -0.33 x_{12}\\
 x_{102}   &  1.66666666667 & +  1.89 x_{82} & -3.11 x_{5} & -5.67 x_{20} & +  0.89 x_{122} & +  2.00 x_{29} & +  2.78 x_{6} & -0.22 x_{12}\\
 x_{103}   &  5.0 & +  7.00 x_{82} & -9.00 x_{5} & -19.00 x_{20} & +  0.00 x_{122} & +  9.00 x_{29} & +  9.00 x_{6} & -0.00 x_{12}\\
 x_{104}   &  5.0 & +  7.00 x_{82} & -8.00 x_{5} & -19.00 x_{20} & +  0.00 x_{122} & +  9.00 x_{29} & +  9.00 x_{6} & -0.00 x_{12}\\
 x_{105}   &  8.66666666667 & + 18.89 x_{82} & -21.11 x_{5} & -48.67 x_{20} & -2.11 x_{122} & + 26.00 x_{29} & + 24.78 x_{6} & +  0.78 x_{12}\\
 x_{106}   &  2.33333333333 & +  3.44 x_{82} & -5.56 x_{5} & -10.33 x_{20} & +  0.44 x_{122} & +  5.00 x_{29} & +  4.89 x_{6} & -0.11 x_{12}\\
 x_{107}   &  4.0 & +  3.33 x_{82} & -6.67 x_{5} & -13.00 x_{20} & +  1.33 x_{122} & +  5.00 x_{29} & +  5.67 x_{6} & -0.33 x_{12}\\
 x_{108}   &  5.0 & +  5.33 x_{82} & -8.67 x_{5} & -19.00 x_{20} & +  1.33 x_{122} & +  8.00 x_{29} & +  8.67 x_{6} & -0.33 x_{12}\\
 x_{109}   &  10.6666666667 & + 20.89 x_{82} & -24.11 x_{5} & -53.67 x_{20} & -2.11 x_{122} & + 28.00 x_{29} & + 26.78 x_{6} & +  0.78 x_{12}\\
 x_{110}   &  5.0 & +  5.33 x_{82} & -7.67 x_{5} & -17.00 x_{20} & +  1.33 x_{122} & +  7.00 x_{29} & +  7.67 x_{6} & -0.33 x_{12}\\
 x_{111}   &  1.0 & +  2.00 x_{82} & -3.00 x_{5} & -6.00 x_{20} & +  0.00 x_{122} & +  3.00 x_{29} & +  3.00 x_{6} & +  0.00 x_{12}\\
 x_{112}   &  6.0 & +  6.33 x_{82} & -10.67 x_{5} & -23.00 x_{20} & +  1.33 x_{122} & + 10.00 x_{29} & + 10.67 x_{6} & -0.33 x_{12}\\
 x_{113}   &  9.66666666667 & + 17.22 x_{82} & -19.78 x_{5} & -45.67 x_{20} & -0.78 x_{122} & + 23.00 x_{29} & + 22.44 x_{6} & +  0.44 x_{12}\\
 x_{114}   &  9.66666666667 & + 17.22 x_{82} & -19.78 x_{5} & -45.67 x_{20} & -0.78 x_{122} & + 23.00 x_{29} & + 22.44 x_{6} & +  0.44 x_{12}\\
 x_{115}   &  5.0 & +  5.33 x_{82} & -7.67 x_{5} & -17.00 x_{20} & +  1.33 x_{122} & +  7.00 x_{29} & +  7.67 x_{6} & -0.33 x_{12}\\
 x_{116}   &  5.0 & +  7.00 x_{82} & -8.00 x_{5} & -19.00 x_{20} & +  0.00 x_{122} & +  9.00 x_{29} & +  9.00 x_{6} & -0.00 x_{12}\\
 x_{117}   &  4.0 & +  3.33 x_{82} & -5.67 x_{5} & -11.00 x_{20} & +  1.33 x_{122} & +  4.00 x_{29} & +  4.67 x_{6} & -0.33 x_{12}\\
 x_{118}   &  5.33333333333 & +  7.44 x_{82} & -10.56 x_{5} & -23.33 x_{20} & +  0.44 x_{122} & + 11.00 x_{29} & + 10.89 x_{6} & -0.11 x_{12}\\
 x_{119}   &  5.66666666667 & +  6.89 x_{82} & -10.11 x_{5} & -21.67 x_{20} & +  0.89 x_{122} & + 10.00 x_{29} & +  9.78 x_{6} & -0.22 x_{12}\\
 x_{8}   &  4.66666666667 & + 14.56 x_{82} & -14.44 x_{5} & -33.67 x_{20} & -3.44 x_{122} & + 20.00 x_{29} & + 18.11 x_{6} & +  1.11 x_{12}\\
 x_{78}   &  0.999999999998 & +  0.33 x_{82} & -1.67 x_{5} & -4.00 x_{20} & +  1.33 x_{122} & +  1.00 x_{29} & +  1.67 x_{6} & -0.33 x_{12}\\
 x_{1}   &  8.23785484272e-14 & -1.00 x_{82} & -0.00 x_{5} & +  2.00 x_{20} & -0.00 x_{122} & +  0.00 x_{29} & -1.00 x_{6} & +  0.00 x_{12}\\
 x_{123}   &  0.333333333327 & -0.22 x_{82} & +  1.78 x_{5} & +  1.67 x_{20} & +  0.78 x_{122} & -1.00 x_{29} & -1.44 x_{6} & +  0.56 x_{12}\\
 x_{124}   &  0.666666666666 & -0.11 x_{82} & -0.11 x_{5} & -0.67 x_{20} & +  1.89 x_{122} & -1.00 x_{29} & -0.22 x_{6} & -0.22 x_{12}\\
 x_{125}   &  0.333333333341 & -0.22 x_{82} & +  1.78 x_{5} & +  1.67 x_{20} & +  0.78 x_{122} & -1.00 x_{29} & -1.44 x_{6} & +  0.56 x_{12}\\
 x_{126}   &  0.999999999996 & -0.00 x_{82} & +  1.00 x_{5} & +  0.00 x_{20} & +  2.00 x_{122} & -1.00 x_{29} & -1.00 x_{6} & +  0.00 x_{12}\\
 x_{127}   &  0.333333333334 & -0.56 x_{82} & +  0.44 x_{5} & +  0.67 x_{20} & +  1.44 x_{122} & -1.00 x_{29} & -1.11 x_{6} & -0.11 x_{12}\\
 x_{128}   &  0.666666666659 & +  0.22 x_{82} & +  0.22 x_{5} & -1.67 x_{20} & +  1.22 x_{122} & -0.00 x_{29} & +  0.44 x_{6} & +  0.44 x_{12}\\
 x_{129}   &  0.333333333324 & -0.22 x_{82} & +  0.78 x_{5} & +  0.67 x_{20} & +  0.78 x_{122} & -0.00 x_{29} & -0.44 x_{6} & +  0.56 x_{12}\\
 x_{130}   &  0.999999999991 & -0.33 x_{82} & +  0.67 x_{5} & +  0.00 x_{20} & +  1.67 x_{122} & -1.00 x_{29} & -0.67 x_{6} & +  0.33 x_{12}\\
 x_{131}   &  0.666666666658 & +  0.22 x_{82} & +  1.22 x_{5} & +  0.33 x_{20} & +  1.22 x_{122} & -1.00 x_{29} & -0.56 x_{6} & +  0.44 x_{12}\\
 x_{132}   &  0.999999999992 & -0.33 x_{82} & +  0.67 x_{5} & +  0.00 x_{20} & +  1.67 x_{122} & -1.00 x_{29} & -0.67 x_{6} & +  0.33 x_{12}\\
 x_{133}   &  0.666666666657 & +  0.22 x_{82} & +  0.22 x_{5} & -1.67 x_{20} & +  1.22 x_{122} & -0.00 x_{29} & +  0.44 x_{6} & +  0.44 x_{12}\\
 x_{134}   &  0.999999999993 & -0.33 x_{82} & +  1.67 x_{5} & +  1.00 x_{20} & +  1.67 x_{122} & -2.00 x_{29} & -1.67 x_{6} & +  0.33 x_{12}\\
 x_{135}   &  0.333333333327 & -0.22 x_{82} & +  0.78 x_{5} & +  0.67 x_{20} & +  0.78 x_{122} & -0.00 x_{29} & -0.44 x_{6} & +  0.56 x_{12}\\
 x_{136}   &  0.333333333327 & -0.22 x_{82} & +  0.78 x_{5} & +  0.67 x_{20} & +  0.78 x_{122} & -0.00 x_{29} & -0.44 x_{6} & +  0.56 x_{12}\\
 x_{137}   &  0.666666666657 & +  0.22 x_{82} & +  0.22 x_{5} & -1.67 x_{20} & +  1.22 x_{122} & -0.00 x_{29} & +  0.44 x_{6} & +  0.44 x_{12}\\
 x_{138}   &  0.999999999991 & -0.33 x_{82} & +  0.67 x_{5} & +  0.00 x_{20} & +  1.67 x_{122} & -1.00 x_{29} & -0.67 x_{6} & +  0.33 x_{12}\\
 x_{139}   &  0.333333333327 & -0.22 x_{82} & +  0.78 x_{5} & +  0.67 x_{20} & +  0.78 x_{122} & -0.00 x_{29} & -0.44 x_{6} & +  0.56 x_{12}\\
 x_{140}   &  0.666666666657 & +  0.22 x_{82} & +  1.22 x_{5} & +  0.33 x_{20} & +  1.22 x_{122} & -1.00 x_{29} & -0.56 x_{6} & +  0.44 x_{12}\\
 x_{141}   &  0.666666666657 & +  0.22 x_{82} & +  0.22 x_{5} & -1.67 x_{20} & +  1.22 x_{122} & -0.00 x_{29} & +  0.44 x_{6} & +  0.44 x_{12}\\
 x_{142}   &  0.333333333325 & -0.22 x_{82} & +  1.78 x_{5} & +  1.67 x_{20} & +  0.78 x_{122} & -1.00 x_{29} & -1.44 x_{6} & +  0.56 x_{12}\\
 x_{143}   &  0.333333333325 & -0.22 x_{82} & +  1.78 x_{5} & +  1.67 x_{20} & +  0.78 x_{122} & -1.00 x_{29} & -1.44 x_{6} & +  0.56 x_{12}\\
 x_{144}   &  0.666666666657 & +  0.22 x_{82} & +  0.22 x_{5} & -1.67 x_{20} & +  1.22 x_{122} & -0.00 x_{29} & +  0.44 x_{6} & +  0.44 x_{12}\\
 x_{145}   &  0.666666666657 & +  0.22 x_{82} & +  1.22 x_{5} & +  0.33 x_{20} & +  1.22 x_{122} & -1.00 x_{29} & -0.56 x_{6} & +  0.44 x_{12}\\
 x_{146}   &  0.666666666658 & +  0.22 x_{82} & +  0.22 x_{5} & -1.67 x_{20} & +  1.22 x_{122} & -0.00 x_{29} & +  0.44 x_{6} & +  0.44 x_{12}\\
 x_{147}   &  0.333333333325 & -0.22 x_{82} & +  1.78 x_{5} & +  1.67 x_{20} & +  0.78 x_{122} & -1.00 x_{29} & -1.44 x_{6} & +  0.56 x_{12}\\
 x_{148}   &  0.333333333324 & -0.22 x_{82} & +  1.78 x_{5} & +  1.67 x_{20} & +  0.78 x_{122} & -1.00 x_{29} & -1.44 x_{6} & +  0.56 x_{12}\\
 x_{149}   &  0.333333333326 & -0.22 x_{82} & +  1.78 x_{5} & +  1.67 x_{20} & +  0.78 x_{122} & -1.00 x_{29} & -1.44 x_{6} & +  0.56 x_{12}\\
 x_{150}   &  0.333333333326 & -0.22 x_{82} & +  1.78 x_{5} & +  1.67 x_{20} & +  0.78 x_{122} & -1.00 x_{29} & -1.44 x_{6} & +  0.56 x_{12}\\
\hline
z    &  4.0 & +  0.00 x_{82} & -2.00 x_{5} & -1.00 x_{20} & -0.00 x_{122} & +  0.00 x_{29} & +  0.00 x_{6} & +  0.00 x_{12}\\
\end{array}\]
 After cutting plane is added 
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{121}   &  0.333333333337 & +  0.11 x_{82} & +  1.11 x_{5} & +  0.67 x_{20} & +  1.11 x_{122} & -1.00 x_{29} & -0.78 x_{6} & +  0.22 x_{12}\\
 x_{120}   &  0.333333333326 & -0.22 x_{82} & +  0.78 x_{5} & +  0.67 x_{20} & +  0.78 x_{122} & -0.00 x_{29} & -0.44 x_{6} & +  0.56 x_{12}\\
 x_{3}   &  2.0  &   & +  1.00 x_{5} & +  1.00 x_{20} &   & -1.00 x_{29} &    &   \\
 x_{11}   &  69.6666666667 & -11.78 x_{82} & -13.78 x_{5} & + 11.33 x_{20} & +  4.22 x_{122} & -12.00 x_{29} & + 12.44 x_{6} & -2.56 x_{12}\\
 x_{7}   &  5.33333333333 & -0.56 x_{82} & -0.56 x_{5} & -0.33 x_{20} & +  0.44 x_{122} & -1.00 x_{29} & +  0.89 x_{6} & -0.11 x_{12}\\
 x_{15}   &  1.49047441056e-14 & +  0.00 x_{82} & +  1.00 x_{5} & +  2.00 x_{20} & -0.00 x_{122} & -1.00 x_{29} & -1.00 x_{6} & +  0.00 x_{12}\\
 x_{73}   &  0.999999999999 & -0.67 x_{82} & +  0.33 x_{5} & +  1.00 x_{20} & +  1.33 x_{122} & -2.00 x_{29} & -1.33 x_{6} & -0.33 x_{12}\\
 x_{46}   &  5.66666666667 & + 13.89 x_{82} & -15.11 x_{5} & -34.67 x_{20} & -2.11 x_{122} & + 19.00 x_{29} & + 17.78 x_{6} & +  0.78 x_{12}\\
 x_{16}   &  2.33333333333 & -1.22 x_{82} & -0.22 x_{5} & -1.33 x_{20} & +  1.78 x_{122} & -2.00 x_{29} & -0.44 x_{6} & -0.44 x_{12}\\
 x_{17}   &  2.33333333333 & -2.89 x_{82} & +  0.11 x_{5} & +  1.67 x_{20} & +  2.11 x_{122} & -3.00 x_{29} & -2.78 x_{6} & +  0.22 x_{12}\\
 x_{14}   &  1.66666666666 & -2.78 x_{82} & -0.78 x_{5} & +  0.33 x_{20} & +  2.22 x_{122} & -3.00 x_{29} & -1.56 x_{6} & -0.56 x_{12}\\
 x_{19}   &  8.0 & +  7.33 x_{82} & -13.67 x_{5} & -29.00 x_{20} & +  1.33 x_{122} & + 12.00 x_{29} & + 12.67 x_{6} & -0.33 x_{12}\\
 x_{9}   &  11.6666666667 & -20.78 x_{82} & -11.78 x_{5} & + 33.33 x_{20} & +  3.22 x_{122} & -6.00 x_{29} & -13.56 x_{6} & -2.56 x_{12}\\
 x_{21}   &  5.0 & +  6.00 x_{82} & -9.00 x_{5} & -19.00 x_{20} & +  0.00 x_{122} & +  9.00 x_{29} & +  9.00 x_{6} & -0.00 x_{12}\\
 x_{2}   &  8.99280649947e-15 & +  0.00 x_{82} & +  2.00 x_{5} & +  3.00 x_{20} & -0.00 x_{122} & -2.00 x_{29} & -2.00 x_{6} & +  0.00 x_{12}\\
 x_{23}   &  1.66666666667 & -0.11 x_{82} & -2.11 x_{5} & -3.67 x_{20} & +  0.89 x_{122} & +  1.00 x_{29} & +  1.78 x_{6} & -0.22 x_{12}\\
 x_{24}   &  7.0 & +  6.33 x_{82} & -11.67 x_{5} & -25.00 x_{20} & +  1.33 x_{122} & + 10.00 x_{29} & + 10.67 x_{6} & -0.33 x_{12}\\
 x_{25}   &  2.45174251271e-16 & -0.00 x_{82} & +  0.00 x_{5} & +  1.00 x_{20} & +  0.00 x_{122} & -0.00 x_{29} & -0.00 x_{6} & -0.00 x_{12}\\
 x_{26}   &  6.66666666667 & +  9.56 x_{82} & -13.44 x_{5} & -28.67 x_{20} & -0.44 x_{122} & + 14.00 x_{29} & + 14.11 x_{6} & +  0.11 x_{12}\\
 x_{27}   &  0.999999999998 & -1.67 x_{82} & -0.67 x_{5} & +  0.00 x_{20} & +  1.33 x_{122} & -1.00 x_{29} & -0.33 x_{6} & -0.33 x_{12}\\
 x_{18}   &  7.33333333333 & +  8.44 x_{82} & -13.56 x_{5} & -28.33 x_{20} & +  0.44 x_{122} & + 13.00 x_{29} & + 12.89 x_{6} & -0.11 x_{12}\\
 x_{22}   &  1.33333333333 & -2.22 x_{82} & -0.22 x_{5} & +  0.67 x_{20} & +  1.78 x_{122} & -2.00 x_{29} & -1.44 x_{6} & -0.44 x_{12}\\
 x_{30}   &  -0  &    &    &    &   & +  1.00 x_{29} &    &   \\
 x_{31}   &  12.6666666667 & + 17.56 x_{82} & -24.44 x_{5} & -53.67 x_{20} & -0.44 x_{122} & + 26.00 x_{29} & + 25.11 x_{6} & +  0.11 x_{12}\\
 x_{32}   &  8.0 & + 10.00 x_{82} & -14.00 x_{5} & -30.00 x_{20} & +  0.00 x_{122} & + 15.00 x_{29} & + 14.00 x_{6} & -0.00 x_{12}\\
 x_{33}   &  9.0 & + 11.00 x_{82} & -17.00 x_{5} & -34.00 x_{20} & +  0.00 x_{122} & + 17.00 x_{29} & + 16.00 x_{6} & -0.00 x_{12}\\
 x_{34}   &  3.0 & +  3.00 x_{82} & -5.00 x_{5} & -8.00 x_{20} & +  0.00 x_{122} & +  5.00 x_{29} & +  4.00 x_{6} & -0.00 x_{12}\\
 x_{35}   &  6.0 & +  7.00 x_{82} & -10.00 x_{5} & -21.00 x_{20} & +  0.00 x_{122} & + 11.00 x_{29} & + 10.00 x_{6} & -0.00 x_{12}\\
 x_{36}   &  1.0 & +  1.00 x_{82} & -2.00 x_{5} & -2.00 x_{20} & +  0.00 x_{122} & +  2.00 x_{29} & +  1.00 x_{6} & -0.00 x_{12}\\
 x_{37}   &  5.66666666667 & +  8.56 x_{82} & -12.44 x_{5} & -25.67 x_{20} & -0.44 x_{122} & + 13.00 x_{29} & + 12.11 x_{6} & +  0.11 x_{12}\\
 x_{38}   &  6.66666666667 & +  9.56 x_{82} & -12.44 x_{5} & -27.67 x_{20} & -0.44 x_{122} & + 14.00 x_{29} & + 13.11 x_{6} & +  0.11 x_{12}\\
 x_{39}   &  5.66666666667 & +  8.56 x_{82} & -11.44 x_{5} & -25.67 x_{20} & -0.44 x_{122} & + 13.00 x_{29} & + 12.11 x_{6} & +  0.11 x_{12}\\
 x_{40}   &  9.66666666667 & + 13.56 x_{82} & -18.44 x_{5} & -40.67 x_{20} & -0.44 x_{122} & + 20.00 x_{29} & + 19.11 x_{6} & +  0.11 x_{12}\\
 x_{41}   &  6.0 & +  7.00 x_{82} & -11.00 x_{5} & -21.00 x_{20} & +  0.00 x_{122} & + 11.00 x_{29} & + 10.00 x_{6} & -0.00 x_{12}\\
 x_{42}   &  5.66666666667 & +  8.56 x_{82} & -12.44 x_{5} & -25.67 x_{20} & -0.44 x_{122} & + 13.00 x_{29} & + 12.11 x_{6} & +  0.11 x_{12}\\
 x_{43}   &  7.66666666667 & + 10.56 x_{82} & -14.44 x_{5} & -29.67 x_{20} & -0.44 x_{122} & + 15.00 x_{29} & + 14.11 x_{6} & +  0.11 x_{12}\\
 x_{44}   &  8.0 & + 10.00 x_{82} & -15.00 x_{5} & -30.00 x_{20} & +  0.00 x_{122} & + 15.00 x_{29} & + 14.00 x_{6} & -0.00 x_{12}\\
 x_{45}   &  13.6666666667 & + 18.56 x_{82} & -25.44 x_{5} & -55.67 x_{20} & -0.44 x_{122} & + 27.00 x_{29} & + 26.11 x_{6} & +  0.11 x_{12}\\
 x_{28}   &  9.0 & + 12.00 x_{82} & -17.00 x_{5} & -37.00 x_{20} & +  0.00 x_{122} & + 18.00 x_{29} & + 17.00 x_{6} & -0.00 x_{12}\\
 x_{10}   &  2.66666666666 & -3.44 x_{82} & -0.44 x_{5} & +  1.33 x_{20} & +  2.56 x_{122} & -4.00 x_{29} & -2.89 x_{6} & -0.89 x_{12}\\
 x_{48}   &  9.33333333333 & + 16.78 x_{82} & -20.22 x_{5} & -46.33 x_{20} & -1.22 x_{122} & + 24.00 x_{29} & + 22.56 x_{6} & +  0.56 x_{12}\\
 x_{49}   &  14.6666666667 & + 22.22 x_{82} & -28.78 x_{5} & -64.67 x_{20} & -0.78 x_{122} & + 32.00 x_{29} & + 30.44 x_{6} & +  0.44 x_{12}\\
 x_{50}   &  11.0 & + 19.33 x_{82} & -23.67 x_{5} & -53.00 x_{20} & -1.67 x_{122} & + 27.00 x_{29} & + 25.67 x_{6} & +  0.67 x_{12}\\
 x_{51}   &  2.0 & +  0.33 x_{82} & -2.67 x_{5} & -5.00 x_{20} & +  1.33 x_{122} & +  1.00 x_{29} & +  1.67 x_{6} & -0.33 x_{12}\\
 x_{52}   &  4.33333333333 & -0.89 x_{82} & -3.89 x_{5} & -7.33 x_{20} & +  3.11 x_{122} & -0.00 x_{29} & +  1.22 x_{6} & -0.78 x_{12}\\
 x_{53}   &  5.33333333333 & +  1.11 x_{82} & -5.89 x_{5} & -12.33 x_{20} & +  3.11 x_{122} & +  2.00 x_{29} & +  3.22 x_{6} & -0.78 x_{12}\\
 x_{54}   &  10.3333333333 & + 17.78 x_{82} & -22.22 x_{5} & -50.33 x_{20} & -1.22 x_{122} & + 26.00 x_{29} & + 24.56 x_{6} & +  0.56 x_{12}\\
 x_{55}   &  11.0 & + 16.67 x_{82} & -21.33 x_{5} & -48.00 x_{20} & -0.33 x_{122} & + 23.00 x_{29} & + 22.33 x_{6} & +  0.33 x_{12}\\
 x_{56}   &  9.0 & +  9.33 x_{82} & -14.67 x_{5} & -32.00 x_{20} & +  1.33 x_{122} & + 14.00 x_{29} & + 13.67 x_{6} & -0.33 x_{12}\\
 x_{57}   &  4.33333333333 & -0.89 x_{82} & -3.89 x_{5} & -7.33 x_{20} & +  3.11 x_{122} & -0.00 x_{29} & +  1.22 x_{6} & -0.78 x_{12}\\
 x_{58}   &  3.33333333333 & +  0.78 x_{82} & -4.22 x_{5} & -7.33 x_{20} & +  1.78 x_{122} & +  2.00 x_{29} & +  2.56 x_{6} & -0.44 x_{12}\\
 x_{59}   &  10.3333333333 & + 20.44 x_{82} & -23.56 x_{5} & -53.33 x_{20} & -2.56 x_{122} & + 29.00 x_{29} & + 26.89 x_{6} & +  0.89 x_{12}\\
 x_{60}   &  2.33333333333 & -0.22 x_{82} & -1.22 x_{5} & -2.33 x_{20} & +  1.78 x_{122} & -1.00 x_{29} & -0.44 x_{6} & -0.44 x_{12}\\
 x_{47}   &  4.33333333333 & +  2.78 x_{82} & -7.22 x_{5} & -14.33 x_{20} & +  1.78 x_{122} & +  5.00 x_{29} & +  5.56 x_{6} & -0.44 x_{12}\\
 x_{62}   &  7.0 & +  7.33 x_{82} & -10.67 x_{5} & -24.00 x_{20} & +  1.33 x_{122} & + 10.00 x_{29} & +  9.67 x_{6} & -0.33 x_{12}\\
 x_{63}   &  4.33333333333 & +  2.78 x_{82} & -7.22 x_{5} & -14.33 x_{20} & +  1.78 x_{122} & +  5.00 x_{29} & +  5.56 x_{6} & -0.44 x_{12}\\
 x_{64}   &  9.0 & +  9.33 x_{82} & -13.67 x_{5} & -30.00 x_{20} & +  1.33 x_{122} & + 13.00 x_{29} & + 12.67 x_{6} & -0.33 x_{12}\\
 x_{65}   &  2.33333333333 & +  2.44 x_{82} & -1.56 x_{5} & -5.33 x_{20} & +  0.44 x_{122} & +  2.00 x_{29} & +  1.89 x_{6} & -0.11 x_{12}\\
 x_{66}   &  10.0 & +  7.67 x_{82} & -15.33 x_{5} & -32.00 x_{20} & +  2.67 x_{122} & + 13.00 x_{29} & + 13.33 x_{6} & -0.67 x_{12}\\
 x_{67}   &  4.33333333333 & +  2.78 x_{82} & -7.22 x_{5} & -14.33 x_{20} & +  1.78 x_{122} & +  5.00 x_{29} & +  5.56 x_{6} & -0.44 x_{12}\\
 x_{68}   &  3.0 & -1.33 x_{82} & -1.33 x_{5} & -3.00 x_{20} & +  2.67 x_{122} & -2.00 x_{29} & -0.67 x_{6} & -0.67 x_{12}\\
 x_{69}   &  7.0 & + 14.33 x_{82} & -15.67 x_{5} & -36.00 x_{20} & -1.67 x_{122} & + 19.00 x_{29} & + 17.67 x_{6} & +  0.67 x_{12}\\
 x_{70}   &  4.66666666667 & +  4.89 x_{82} & -6.11 x_{5} & -14.67 x_{20} & +  0.89 x_{122} & +  6.00 x_{29} & +  5.78 x_{6} & -0.22 x_{12}\\
 x_{72}   &  5.66666666667 & + 14.89 x_{82} & -15.11 x_{5} & -34.67 x_{20} & -2.11 x_{122} & + 19.00 x_{29} & + 17.78 x_{6} & +  0.78 x_{12}\\
 x_{71}   &  6.66666666667 & + 13.22 x_{82} & -15.78 x_{5} & -34.67 x_{20} & -0.78 x_{122} & + 18.00 x_{29} & + 17.44 x_{6} & +  0.44 x_{12}\\
 x_{61}   &  1.33333333333 & -1.22 x_{82} & -1.22 x_{5} & -1.33 x_{20} & +  1.78 x_{122} & -1.00 x_{29} & -0.44 x_{6} & -0.44 x_{12}\\
 x_{74}   &  0.999999999998 & -0.67 x_{82} & +  1.33 x_{5} & +  1.00 x_{20} & +  1.33 x_{122} & -2.00 x_{29} & -1.33 x_{6} & -0.33 x_{12}\\
 x_{75}   &  10.3333333333 & + 19.78 x_{82} & -24.22 x_{5} & -53.33 x_{20} & -1.22 x_{122} & + 27.00 x_{29} & + 25.56 x_{6} & +  0.56 x_{12}\\
 x_{76}   &  0.999999999999 & -0.67 x_{82} & +  0.33 x_{5} & +  1.00 x_{20} & +  1.33 x_{122} & -2.00 x_{29} & -1.33 x_{6} & -0.33 x_{12}\\
 x_{77}   &  4.33333333333 & +  5.44 x_{82} & -7.56 x_{5} & -17.33 x_{20} & +  0.44 x_{122} & +  8.00 x_{29} & +  7.89 x_{6} & -0.11 x_{12}\\
 x_{4}   &  2.0 & -2.67 x_{82} & -2.67 x_{5} & +  2.00 x_{20} & +  0.33 x_{122} & +  1.00 x_{29} & +  0.67 x_{6} & -0.33 x_{12}\\
 x_{79}   &  10.0 & + 19.33 x_{82} & -23.67 x_{5} & -52.00 x_{20} & -1.67 x_{122} & + 27.00 x_{29} & + 25.67 x_{6} & +  0.67 x_{12}\\
 x_{80}   &  7.66666666667 & + 15.22 x_{82} & -16.78 x_{5} & -39.67 x_{20} & -0.78 x_{122} & + 20.00 x_{29} & + 19.44 x_{6} & +  0.44 x_{12}\\
 x_{81}   &  5.33333333333 & +  7.44 x_{82} & -11.56 x_{5} & -23.33 x_{20} & +  0.44 x_{122} & + 11.00 x_{29} & + 10.89 x_{6} & -0.11 x_{12}\\
 x_{13}   &  1.0 & +  3.33 x_{82} & -2.67 x_{5} & -7.00 x_{20} & -0.67 x_{122} & +  4.00 x_{29} & +  3.67 x_{6} & +  0.67 x_{12}\\
 x_{83}   &  6.0 & +  6.33 x_{82} & -9.67 x_{5} & -21.00 x_{20} & +  1.33 x_{122} & +  9.00 x_{29} & +  9.67 x_{6} & -0.33 x_{12}\\
 x_{84}   &  0.333333333333 & +  0.44 x_{82} & -0.56 x_{5} & -1.33 x_{20} & +  0.44 x_{122} & -0.00 x_{29} & +  0.89 x_{6} & -0.11 x_{12}\\
 x_{85}   &  5.33333333333 & +  7.44 x_{82} & -10.56 x_{5} & -21.33 x_{20} & +  0.44 x_{122} & + 10.00 x_{29} & +  9.89 x_{6} & -0.11 x_{12}\\
 x_{86}   &  -1.43773881689e-14 & +  1.00 x_{82} & -1.00 x_{5} & -2.00 x_{20} & -0.00 x_{122} & +  1.00 x_{29} & +  1.00 x_{6} & -0.00 x_{12}\\
 x_{87}   &  11.3333333333 & + 20.78 x_{82} & -26.22 x_{5} & -57.33 x_{20} & -1.22 x_{122} & + 29.00 x_{29} & + 27.56 x_{6} & +  0.56 x_{12}\\
 x_{88}   &  10.3333333333 & + 19.78 x_{82} & -24.22 x_{5} & -53.33 x_{20} & -1.22 x_{122} & + 27.00 x_{29} & + 25.56 x_{6} & +  0.56 x_{12}\\
 x_{89}   &  4.0 & +  4.33 x_{82} & -8.67 x_{5} & -17.00 x_{20} & +  1.33 x_{122} & +  7.00 x_{29} & +  7.67 x_{6} & -0.33 x_{12}\\
 x_{90}   &  0.999999999998 & +  0.33 x_{82} & -2.67 x_{5} & -4.00 x_{20} & +  1.33 x_{122} & +  1.00 x_{29} & +  1.67 x_{6} & -0.33 x_{12}\\
 x_{91}   &  6.0 & +  6.33 x_{82} & -11.67 x_{5} & -23.00 x_{20} & +  1.33 x_{122} & + 10.00 x_{29} & + 10.67 x_{6} & -0.33 x_{12}\\
 x_{92}   &  11.6666666667 & + 20.22 x_{82} & -25.78 x_{5} & -55.67 x_{20} & -0.78 x_{122} & + 28.00 x_{29} & + 27.44 x_{6} & +  0.44 x_{12}\\
 x_{93}   &  3.0 & +  2.33 x_{82} & -3.67 x_{5} & -9.00 x_{20} & +  1.33 x_{122} & +  3.00 x_{29} & +  3.67 x_{6} & -0.33 x_{12}\\
 x_{94}   &  0.999999999998 & +  0.33 x_{82} & -1.67 x_{5} & -4.00 x_{20} & +  1.33 x_{122} & +  1.00 x_{29} & +  1.67 x_{6} & -0.33 x_{12}\\
 x_{95}   &  10.6666666667 & + 19.22 x_{82} & -23.78 x_{5} & -53.67 x_{20} & -0.78 x_{122} & + 27.00 x_{29} & + 26.44 x_{6} & +  0.44 x_{12}\\
 x_{96}   &  10.3333333333 & + 19.78 x_{82} & -23.22 x_{5} & -53.33 x_{20} & -1.22 x_{122} & + 27.00 x_{29} & + 25.56 x_{6} & +  0.56 x_{12}\\
 x_{97}   &  10.3333333333 & + 19.78 x_{82} & -25.22 x_{5} & -54.33 x_{20} & -1.22 x_{122} & + 28.00 x_{29} & + 26.56 x_{6} & +  0.56 x_{12}\\
 x_{98}   &  9.33333333333 & + 17.78 x_{82} & -21.22 x_{5} & -46.33 x_{20} & -1.22 x_{122} & + 24.00 x_{29} & + 23.56 x_{6} & +  0.56 x_{12}\\
 x_{99}   &  4.33333333333 & +  5.44 x_{82} & -7.56 x_{5} & -17.33 x_{20} & +  0.44 x_{122} & +  8.00 x_{29} & +  7.89 x_{6} & -0.11 x_{12}\\
 x_{100}   &  3.33333333333 & +  4.44 x_{82} & -7.56 x_{5} & -14.33 x_{20} & +  0.44 x_{122} & +  7.00 x_{29} & +  6.89 x_{6} & -0.11 x_{12}\\
 x_{101}   &  6.0 & +  6.33 x_{82} & -10.67 x_{5} & -21.00 x_{20} & +  1.33 x_{122} & +  9.00 x_{29} & +  9.67 x_{6} & -0.33 x_{12}\\
 x_{102}   &  1.66666666667 & +  1.89 x_{82} & -3.11 x_{5} & -5.67 x_{20} & +  0.89 x_{122} & +  2.00 x_{29} & +  2.78 x_{6} & -0.22 x_{12}\\
 x_{103}   &  5.0 & +  7.00 x_{82} & -9.00 x_{5} & -19.00 x_{20} & +  0.00 x_{122} & +  9.00 x_{29} & +  9.00 x_{6} & -0.00 x_{12}\\
 x_{104}   &  5.0 & +  7.00 x_{82} & -8.00 x_{5} & -19.00 x_{20} & +  0.00 x_{122} & +  9.00 x_{29} & +  9.00 x_{6} & -0.00 x_{12}\\
 x_{105}   &  8.66666666667 & + 18.89 x_{82} & -21.11 x_{5} & -48.67 x_{20} & -2.11 x_{122} & + 26.00 x_{29} & + 24.78 x_{6} & +  0.78 x_{12}\\
 x_{106}   &  2.33333333333 & +  3.44 x_{82} & -5.56 x_{5} & -10.33 x_{20} & +  0.44 x_{122} & +  5.00 x_{29} & +  4.89 x_{6} & -0.11 x_{12}\\
 x_{107}   &  4.0 & +  3.33 x_{82} & -6.67 x_{5} & -13.00 x_{20} & +  1.33 x_{122} & +  5.00 x_{29} & +  5.67 x_{6} & -0.33 x_{12}\\
 x_{108}   &  5.0 & +  5.33 x_{82} & -8.67 x_{5} & -19.00 x_{20} & +  1.33 x_{122} & +  8.00 x_{29} & +  8.67 x_{6} & -0.33 x_{12}\\
 x_{109}   &  10.6666666667 & + 20.89 x_{82} & -24.11 x_{5} & -53.67 x_{20} & -2.11 x_{122} & + 28.00 x_{29} & + 26.78 x_{6} & +  0.78 x_{12}\\
 x_{110}   &  5.0 & +  5.33 x_{82} & -7.67 x_{5} & -17.00 x_{20} & +  1.33 x_{122} & +  7.00 x_{29} & +  7.67 x_{6} & -0.33 x_{12}\\
 x_{111}   &  1.0 & +  2.00 x_{82} & -3.00 x_{5} & -6.00 x_{20} & +  0.00 x_{122} & +  3.00 x_{29} & +  3.00 x_{6} & +  0.00 x_{12}\\
 x_{112}   &  6.0 & +  6.33 x_{82} & -10.67 x_{5} & -23.00 x_{20} & +  1.33 x_{122} & + 10.00 x_{29} & + 10.67 x_{6} & -0.33 x_{12}\\
 x_{113}   &  9.66666666667 & + 17.22 x_{82} & -19.78 x_{5} & -45.67 x_{20} & -0.78 x_{122} & + 23.00 x_{29} & + 22.44 x_{6} & +  0.44 x_{12}\\
 x_{114}   &  9.66666666667 & + 17.22 x_{82} & -19.78 x_{5} & -45.67 x_{20} & -0.78 x_{122} & + 23.00 x_{29} & + 22.44 x_{6} & +  0.44 x_{12}\\
 x_{115}   &  5.0 & +  5.33 x_{82} & -7.67 x_{5} & -17.00 x_{20} & +  1.33 x_{122} & +  7.00 x_{29} & +  7.67 x_{6} & -0.33 x_{12}\\
 x_{116}   &  5.0 & +  7.00 x_{82} & -8.00 x_{5} & -19.00 x_{20} & +  0.00 x_{122} & +  9.00 x_{29} & +  9.00 x_{6} & -0.00 x_{12}\\
 x_{117}   &  4.0 & +  3.33 x_{82} & -5.67 x_{5} & -11.00 x_{20} & +  1.33 x_{122} & +  4.00 x_{29} & +  4.67 x_{6} & -0.33 x_{12}\\
 x_{118}   &  5.33333333333 & +  7.44 x_{82} & -10.56 x_{5} & -23.33 x_{20} & +  0.44 x_{122} & + 11.00 x_{29} & + 10.89 x_{6} & -0.11 x_{12}\\
 x_{119}   &  5.66666666667 & +  6.89 x_{82} & -10.11 x_{5} & -21.67 x_{20} & +  0.89 x_{122} & + 10.00 x_{29} & +  9.78 x_{6} & -0.22 x_{12}\\
 x_{8}   &  4.66666666667 & + 14.56 x_{82} & -14.44 x_{5} & -33.67 x_{20} & -3.44 x_{122} & + 20.00 x_{29} & + 18.11 x_{6} & +  1.11 x_{12}\\
 x_{78}   &  0.999999999998 & +  0.33 x_{82} & -1.67 x_{5} & -4.00 x_{20} & +  1.33 x_{122} & +  1.00 x_{29} & +  1.67 x_{6} & -0.33 x_{12}\\
 x_{1}   &  8.23785484272e-14 & -1.00 x_{82} & -0.00 x_{5} & +  2.00 x_{20} & -0.00 x_{122} & +  0.00 x_{29} & -1.00 x_{6} & +  0.00 x_{12}\\
 x_{123}   &  0.333333333327 & -0.22 x_{82} & +  1.78 x_{5} & +  1.67 x_{20} & +  0.78 x_{122} & -1.00 x_{29} & -1.44 x_{6} & +  0.56 x_{12}\\
 x_{124}   &  0.666666666666 & -0.11 x_{82} & -0.11 x_{5} & -0.67 x_{20} & +  1.89 x_{122} & -1.00 x_{29} & -0.22 x_{6} & -0.22 x_{12}\\
 x_{125}   &  0.333333333341 & -0.22 x_{82} & +  1.78 x_{5} & +  1.67 x_{20} & +  0.78 x_{122} & -1.00 x_{29} & -1.44 x_{6} & +  0.56 x_{12}\\
 x_{126}   &  0.999999999996 & -0.00 x_{82} & +  1.00 x_{5} & +  0.00 x_{20} & +  2.00 x_{122} & -1.00 x_{29} & -1.00 x_{6} & +  0.00 x_{12}\\
 x_{127}   &  0.333333333334 & -0.56 x_{82} & +  0.44 x_{5} & +  0.67 x_{20} & +  1.44 x_{122} & -1.00 x_{29} & -1.11 x_{6} & -0.11 x_{12}\\
 x_{128}   &  0.666666666659 & +  0.22 x_{82} & +  0.22 x_{5} & -1.67 x_{20} & +  1.22 x_{122} & -0.00 x_{29} & +  0.44 x_{6} & +  0.44 x_{12}\\
 x_{129}   &  0.333333333324 & -0.22 x_{82} & +  0.78 x_{5} & +  0.67 x_{20} & +  0.78 x_{122} & -0.00 x_{29} & -0.44 x_{6} & +  0.56 x_{12}\\
 x_{130}   &  0.999999999991 & -0.33 x_{82} & +  0.67 x_{5} & +  0.00 x_{20} & +  1.67 x_{122} & -1.00 x_{29} & -0.67 x_{6} & +  0.33 x_{12}\\
 x_{131}   &  0.666666666658 & +  0.22 x_{82} & +  1.22 x_{5} & +  0.33 x_{20} & +  1.22 x_{122} & -1.00 x_{29} & -0.56 x_{6} & +  0.44 x_{12}\\
 x_{132}   &  0.999999999992 & -0.33 x_{82} & +  0.67 x_{5} & +  0.00 x_{20} & +  1.67 x_{122} & -1.00 x_{29} & -0.67 x_{6} & +  0.33 x_{12}\\
 x_{133}   &  0.666666666657 & +  0.22 x_{82} & +  0.22 x_{5} & -1.67 x_{20} & +  1.22 x_{122} & -0.00 x_{29} & +  0.44 x_{6} & +  0.44 x_{12}\\
 x_{134}   &  0.999999999993 & -0.33 x_{82} & +  1.67 x_{5} & +  1.00 x_{20} & +  1.67 x_{122} & -2.00 x_{29} & -1.67 x_{6} & +  0.33 x_{12}\\
 x_{135}   &  0.333333333327 & -0.22 x_{82} & +  0.78 x_{5} & +  0.67 x_{20} & +  0.78 x_{122} & -0.00 x_{29} & -0.44 x_{6} & +  0.56 x_{12}\\
 x_{136}   &  0.333333333327 & -0.22 x_{82} & +  0.78 x_{5} & +  0.67 x_{20} & +  0.78 x_{122} & -0.00 x_{29} & -0.44 x_{6} & +  0.56 x_{12}\\
 x_{137}   &  0.666666666657 & +  0.22 x_{82} & +  0.22 x_{5} & -1.67 x_{20} & +  1.22 x_{122} & -0.00 x_{29} & +  0.44 x_{6} & +  0.44 x_{12}\\
 x_{138}   &  0.999999999991 & -0.33 x_{82} & +  0.67 x_{5} & +  0.00 x_{20} & +  1.67 x_{122} & -1.00 x_{29} & -0.67 x_{6} & +  0.33 x_{12}\\
 x_{139}   &  0.333333333327 & -0.22 x_{82} & +  0.78 x_{5} & +  0.67 x_{20} & +  0.78 x_{122} & -0.00 x_{29} & -0.44 x_{6} & +  0.56 x_{12}\\
 x_{140}   &  0.666666666657 & +  0.22 x_{82} & +  1.22 x_{5} & +  0.33 x_{20} & +  1.22 x_{122} & -1.00 x_{29} & -0.56 x_{6} & +  0.44 x_{12}\\
 x_{141}   &  0.666666666657 & +  0.22 x_{82} & +  0.22 x_{5} & -1.67 x_{20} & +  1.22 x_{122} & -0.00 x_{29} & +  0.44 x_{6} & +  0.44 x_{12}\\
 x_{142}   &  0.333333333325 & -0.22 x_{82} & +  1.78 x_{5} & +  1.67 x_{20} & +  0.78 x_{122} & -1.00 x_{29} & -1.44 x_{6} & +  0.56 x_{12}\\
 x_{143}   &  0.333333333325 & -0.22 x_{82} & +  1.78 x_{5} & +  1.67 x_{20} & +  0.78 x_{122} & -1.00 x_{29} & -1.44 x_{6} & +  0.56 x_{12}\\
 x_{144}   &  0.666666666657 & +  0.22 x_{82} & +  0.22 x_{5} & -1.67 x_{20} & +  1.22 x_{122} & -0.00 x_{29} & +  0.44 x_{6} & +  0.44 x_{12}\\
 x_{145}   &  0.666666666657 & +  0.22 x_{82} & +  1.22 x_{5} & +  0.33 x_{20} & +  1.22 x_{122} & -1.00 x_{29} & -0.56 x_{6} & +  0.44 x_{12}\\
 x_{146}   &  0.666666666658 & +  0.22 x_{82} & +  0.22 x_{5} & -1.67 x_{20} & +  1.22 x_{122} & -0.00 x_{29} & +  0.44 x_{6} & +  0.44 x_{12}\\
 x_{147}   &  0.333333333325 & -0.22 x_{82} & +  1.78 x_{5} & +  1.67 x_{20} & +  0.78 x_{122} & -1.00 x_{29} & -1.44 x_{6} & +  0.56 x_{12}\\
 x_{148}   &  0.333333333324 & -0.22 x_{82} & +  1.78 x_{5} & +  1.67 x_{20} & +  0.78 x_{122} & -1.00 x_{29} & -1.44 x_{6} & +  0.56 x_{12}\\
 x_{149}   &  0.333333333326 & -0.22 x_{82} & +  1.78 x_{5} & +  1.67 x_{20} & +  0.78 x_{122} & -1.00 x_{29} & -1.44 x_{6} & +  0.56 x_{12}\\
 x_{150}   &  0.333333333326 & -0.22 x_{82} & +  1.78 x_{5} & +  1.67 x_{20} & +  0.78 x_{122} & -1.00 x_{29} & -1.44 x_{6} & +  0.56 x_{12}\\
 x_{151}   &  -0.333333333337 & +  0.89 x_{82} & +  0.89 x_{5} & +  0.33 x_{20} & +  0.89 x_{122} & +  1.00 x_{29} & +  0.78 x_{6} & +  0.78 x_{12}\\
 x_{152}   &  -0.333333333326 & +  0.22 x_{82} & +  0.22 x_{5} & +  0.33 x_{20} & +  0.22 x_{122} & +  0.00 x_{29} & +  0.44 x_{6} & +  0.44 x_{12}\\
 x_{153}   &  -0.666666666662 & +  0.78 x_{82} & +  0.78 x_{5} & +  0.67 x_{20} & +  0.78 x_{122} & +  0.00 x_{29} & +  0.56 x_{6} & +  0.56 x_{12}\\
 x_{154}   &  -0.333333333333 & +  0.56 x_{82} & +  0.56 x_{5} & +  0.33 x_{20} & +  0.56 x_{122} & +  0.00 x_{29} & +  0.11 x_{6} & +  0.11 x_{12}\\
 x_{155}   &  -0.666666666668 & +  0.11 x_{82} & +  0.11 x_{5} & +  0.67 x_{20} & +  0.11 x_{122} & +  1.00 x_{29} & +  0.22 x_{6} & +  0.22 x_{12}\\
 x_{156}   &  -0.333333333331 & +  0.22 x_{82} & +  0.22 x_{5} & +  0.33 x_{20} & +  0.22 x_{122} & +  0.00 x_{29} & +  0.44 x_{6} & +  0.44 x_{12}\\
 x_{157}   &  -0.333333333331 & +  0.89 x_{82} & +  0.89 x_{5} & +  0.33 x_{20} & +  0.89 x_{122} & +  0.00 x_{29} & +  0.78 x_{6} & +  0.78 x_{12}\\
 x_{158}   &  -0.666666666664 & +  0.78 x_{82} & +  0.78 x_{5} & +  0.67 x_{20} & +  0.78 x_{122} & +  0.00 x_{29} & +  0.56 x_{6} & +  0.56 x_{12}\\
 x_{159}   &  -0.666666666665 & +  0.78 x_{82} & +  0.78 x_{5} & +  0.67 x_{20} & +  0.78 x_{122} & +  0.00 x_{29} & +  0.56 x_{6} & +  0.56 x_{12}\\
 x_{160}   &  -0.666666666666 & +  0.11 x_{82} & +  0.11 x_{5} & +  0.67 x_{20} & +  0.11 x_{122} & +  0.00 x_{29} & +  0.22 x_{6} & +  0.22 x_{12}\\
 x_{161}   &  -0.666666666666 & +  0.44 x_{82} & +  0.44 x_{5} & +  0.67 x_{20} & +  0.44 x_{122} & +  0.00 x_{29} & +  0.89 x_{6} & +  0.89 x_{12}\\
 x_{162}   &  -0.333333333332 & +  0.56 x_{82} & +  0.56 x_{5} & +  0.33 x_{20} & +  0.56 x_{122} & +  0.00 x_{29} & +  0.11 x_{6} & +  0.11 x_{12}\\
 x_{163}   &  -0.333333333331 & +  0.22 x_{82} & +  0.22 x_{5} & +  0.33 x_{20} & +  0.22 x_{122} & +  0.00 x_{29} & +  0.44 x_{6} & +  0.44 x_{12}\\
 x_{164}   &  -0.666666666666 & +  0.44 x_{82} & +  0.44 x_{5} & +  0.67 x_{20} & +  0.44 x_{122} & +  0.00 x_{29} & +  0.89 x_{6} & +  0.89 x_{12}\\
 x_{165}   &  -0.666666666666 & +  0.44 x_{82} & +  0.44 x_{5} & +  0.67 x_{20} & +  0.44 x_{122} & +  0.00 x_{29} & +  0.89 x_{6} & +  0.89 x_{12}\\
 x_{166}   &  -0.666666666666 & +  0.44 x_{82} & +  0.44 x_{5} & +  0.67 x_{20} & +  0.44 x_{122} & +  0.00 x_{29} & +  0.89 x_{6} & +  0.89 x_{12}\\
 x_{167}   &  -0.666666666667 & +  0.44 x_{82} & +  0.44 x_{5} & +  0.67 x_{20} & +  0.44 x_{122} & +  0.00 x_{29} & +  0.89 x_{6} & +  0.89 x_{12}\\
 x_{168}   &  -0.666666666666 & +  0.44 x_{82} & +  0.44 x_{5} & +  0.67 x_{20} & +  0.44 x_{122} & +  0.00 x_{29} & +  0.89 x_{6} & +  0.89 x_{12}\\
 x_{169}   &  -0.666666666666 & +  0.44 x_{82} & +  0.44 x_{5} & +  0.67 x_{20} & +  0.44 x_{122} & +  0.00 x_{29} & +  0.89 x_{6} & +  0.89 x_{12}\\
 x_{170}   &  -0.666666666666 & +  0.44 x_{82} & +  0.44 x_{5} & +  0.67 x_{20} & +  0.44 x_{122} & +  0.00 x_{29} & +  0.89 x_{6} & +  0.89 x_{12}\\
 x_{171}   &  -0.666666666666 & +  0.44 x_{82} & +  0.44 x_{5} & +  0.67 x_{20} & +  0.44 x_{122} & +  0.00 x_{29} & +  0.89 x_{6} & +  0.89 x_{12}\\
 x_{172}   &  -0.666666666664 & +  0.44 x_{82} & +  0.44 x_{5} & +  0.67 x_{20} & +  0.44 x_{122} & +  0.00 x_{29} & +  0.89 x_{6} & +  0.89 x_{12}\\
 x_{173}   &  -0.333333333333 & +  0.22 x_{82} & +  0.22 x_{5} & +  0.33 x_{20} & +  0.22 x_{122} & +  1.00 x_{29} & +  0.44 x_{6} & +  0.44 x_{12}\\
 x_{174}   &  -0.666666666666 & +  0.78 x_{82} & +  0.78 x_{5} & +  0.67 x_{20} & +  0.78 x_{122} & +  0.00 x_{29} & +  0.56 x_{6} & +  0.56 x_{12}\\
 x_{175}   &  -0.33333333333 & +  0.89 x_{82} & +  0.89 x_{5} & +  0.33 x_{20} & +  0.89 x_{122} & +  0.00 x_{29} & +  0.78 x_{6} & +  0.78 x_{12}\\
 x_{176}   &  -0.333333333329 & +  0.89 x_{82} & +  0.89 x_{5} & +  0.33 x_{20} & +  0.89 x_{122} & +  0.00 x_{29} & +  0.78 x_{6} & +  0.78 x_{12}\\
 x_{177}   &  -0.333333333333 & +  0.22 x_{82} & +  0.22 x_{5} & +  0.33 x_{20} & +  0.22 x_{122} & +  0.00 x_{29} & +  0.44 x_{6} & +  0.44 x_{12}\\
 x_{178}   &  -0.33333333333 & +  0.89 x_{82} & +  0.89 x_{5} & +  0.33 x_{20} & +  0.89 x_{122} & +  0.00 x_{29} & +  0.78 x_{6} & +  0.78 x_{12}\\
 x_{179}   &  -0.333333333331 & +  0.22 x_{82} & +  0.22 x_{5} & +  0.33 x_{20} & +  0.22 x_{122} & +  0.00 x_{29} & +  0.44 x_{6} & +  0.44 x_{12}\\
 x_{180}   &  -0.333333333335 & +  0.56 x_{82} & +  0.56 x_{5} & +  0.33 x_{20} & +  0.56 x_{122} & +  1.00 x_{29} & +  0.11 x_{6} & +  0.11 x_{12}\\
 x_{181}   &  -0.333333333331 & +  0.22 x_{82} & +  0.22 x_{5} & +  0.33 x_{20} & +  0.22 x_{122} & +  0.00 x_{29} & +  0.44 x_{6} & +  0.44 x_{12}\\
 x_{182}   &  -0.333333333331 & +  0.22 x_{82} & +  0.22 x_{5} & +  0.33 x_{20} & +  0.22 x_{122} & +  0.00 x_{29} & +  0.44 x_{6} & +  0.44 x_{12}\\
 x_{183}   &  -0.333333333331 & +  0.22 x_{82} & +  0.22 x_{5} & +  0.33 x_{20} & +  0.22 x_{122} & +  0.00 x_{29} & +  0.44 x_{6} & +  0.44 x_{12}\\
 x_{184}   &  -0.333333333333 & +  0.56 x_{82} & +  0.56 x_{5} & +  0.33 x_{20} & +  0.56 x_{122} & +  0.00 x_{29} & +  0.11 x_{6} & +  0.11 x_{12}\\
 x_{185}   &  -0.333333333331 & +  0.22 x_{82} & +  0.22 x_{5} & +  0.33 x_{20} & +  0.22 x_{122} & +  0.00 x_{29} & +  0.44 x_{6} & +  0.44 x_{12}\\
 x_{186}   &  -0.666666666665 & +  0.11 x_{82} & +  0.11 x_{5} & +  0.67 x_{20} & +  0.11 x_{122} & +  0.00 x_{29} & +  0.22 x_{6} & +  0.22 x_{12}\\
 x_{187}   &  -0.666666666668 & +  0.11 x_{82} & +  0.11 x_{5} & +  0.67 x_{20} & +  0.11 x_{122} & +  1.00 x_{29} & +  0.22 x_{6} & +  0.22 x_{12}\\
 x_{188}   &  -0.666666666666 & +  0.78 x_{82} & +  0.78 x_{5} & +  0.67 x_{20} & +  0.78 x_{122} & +  0.00 x_{29} & +  0.56 x_{6} & +  0.56 x_{12}\\
 x_{189}   &  -0.333333333331 & +  0.22 x_{82} & +  0.22 x_{5} & +  0.33 x_{20} & +  0.22 x_{122} & +  0.00 x_{29} & +  0.44 x_{6} & +  0.44 x_{12}\\
 x_{190}   &  -0.333333333333 & +  0.22 x_{82} & +  0.22 x_{5} & +  0.33 x_{20} & +  0.22 x_{122} & +  0.00 x_{29} & +  0.44 x_{6} & +  0.44 x_{12}\\
 x_{191}   &  -0.333333333333 & +  0.56 x_{82} & +  0.56 x_{5} & +  0.33 x_{20} & +  0.56 x_{122} & +  0.00 x_{29} & +  0.11 x_{6} & +  0.11 x_{12}\\
 x_{192}   &  -0.666666666666 & +  0.78 x_{82} & +  0.78 x_{5} & +  0.67 x_{20} & +  0.78 x_{122} & +  0.00 x_{29} & +  0.56 x_{6} & +  0.56 x_{12}\\
 x_{193}   &  -0.333333333332 & +  0.56 x_{82} & +  0.56 x_{5} & +  0.33 x_{20} & +  0.56 x_{122} & +  0.00 x_{29} & +  0.11 x_{6} & +  0.11 x_{12}\\
 x_{194}   &  -0.333333333333 & +  0.56 x_{82} & +  0.56 x_{5} & +  0.33 x_{20} & +  0.56 x_{122} & +  0.00 x_{29} & +  0.11 x_{6} & +  0.11 x_{12}\\
 x_{195}   &  -0.333333333332 & +  0.56 x_{82} & +  0.56 x_{5} & +  0.33 x_{20} & +  0.56 x_{122} & +  0.00 x_{29} & +  0.11 x_{6} & +  0.11 x_{12}\\
 x_{196}   &  -0.333333333333 & +  0.22 x_{82} & +  0.22 x_{5} & +  0.33 x_{20} & +  0.22 x_{122} & +  0.00 x_{29} & +  0.44 x_{6} & +  0.44 x_{12}\\
 x_{197}   &  -0.333333333333 & +  0.22 x_{82} & +  0.22 x_{5} & +  0.33 x_{20} & +  0.22 x_{122} & +  0.00 x_{29} & +  0.44 x_{6} & +  0.44 x_{12}\\
 x_{198}   &  -0.666666666666 & +  0.78 x_{82} & +  0.78 x_{5} & +  0.67 x_{20} & +  0.78 x_{122} & +  0.00 x_{29} & +  0.56 x_{6} & +  0.56 x_{12}\\
 x_{199}   &  -0.666666666666 & +  0.78 x_{82} & +  0.78 x_{5} & +  0.67 x_{20} & +  0.78 x_{122} & +  0.00 x_{29} & +  0.56 x_{6} & +  0.56 x_{12}\\
 x_{200}   &  -0.333333333333 & +  0.22 x_{82} & +  0.22 x_{5} & +  0.33 x_{20} & +  0.22 x_{122} & +  0.00 x_{29} & +  0.44 x_{6} & +  0.44 x_{12}\\
 x_{201}   &  -0.333333333333 & +  0.22 x_{82} & +  0.22 x_{5} & +  0.33 x_{20} & +  0.22 x_{122} & +  0.00 x_{29} & +  0.44 x_{6} & +  0.44 x_{12}\\
 x_{202}   &  -0.333333333333 & +  0.22 x_{82} & +  0.22 x_{5} & +  0.33 x_{20} & +  0.22 x_{122} & +  1.00 x_{29} & +  0.44 x_{6} & +  0.44 x_{12}\\
 x_{203}   &  -0.333333333332 & +  0.56 x_{82} & +  0.56 x_{5} & +  0.33 x_{20} & +  0.56 x_{122} & +  0.00 x_{29} & +  0.11 x_{6} & +  0.11 x_{12}\\
 x_{204}   &  -0.333333333332 & +  0.56 x_{82} & +  0.56 x_{5} & +  0.33 x_{20} & +  0.56 x_{122} & +  0.00 x_{29} & +  0.11 x_{6} & +  0.11 x_{12}\\
 x_{205}   &  -0.666666666665 & +  0.11 x_{82} & +  0.11 x_{5} & +  0.67 x_{20} & +  0.11 x_{122} & +  0.00 x_{29} & +  0.22 x_{6} & +  0.22 x_{12}\\
 x_{206}   &  -0.666666666668 & +  0.11 x_{82} & +  0.11 x_{5} & +  0.67 x_{20} & +  0.11 x_{122} & +  1.00 x_{29} & +  0.22 x_{6} & +  0.22 x_{12}\\
 x_{207}   &  -0.333333333333 & +  0.56 x_{82} & +  0.56 x_{5} & +  0.33 x_{20} & +  0.56 x_{122} & +  0.00 x_{29} & +  0.11 x_{6} & +  0.11 x_{12}\\
 x_{208}   &  -0.666666666668 & +  0.11 x_{82} & +  0.11 x_{5} & +  0.67 x_{20} & +  0.11 x_{122} & +  1.00 x_{29} & +  0.22 x_{6} & +  0.22 x_{12}\\
 x_{209}   &  -0.666666666666 & +  0.78 x_{82} & +  0.78 x_{5} & +  0.67 x_{20} & +  0.78 x_{122} & +  0.00 x_{29} & +  0.56 x_{6} & +  0.56 x_{12}\\
 x_{210}   &  -0.666666666666 & +  0.78 x_{82} & +  0.78 x_{5} & +  0.67 x_{20} & +  0.78 x_{122} & +  0.00 x_{29} & +  0.56 x_{6} & +  0.56 x_{12}\\
 x_{211}   &  -0.333333333332 & +  0.56 x_{82} & +  0.56 x_{5} & +  0.33 x_{20} & +  0.56 x_{122} & +  0.00 x_{29} & +  0.11 x_{6} & +  0.11 x_{12}\\
 x_{212}   &  -0.666666666665 & +  0.11 x_{82} & +  0.11 x_{5} & +  0.67 x_{20} & +  0.11 x_{122} & +  0.00 x_{29} & +  0.22 x_{6} & +  0.22 x_{12}\\
 x_{213}   &  -0.66666666667 & +  0.44 x_{82} & +  0.44 x_{5} & +  0.67 x_{20} & +  0.44 x_{122} & +  1.00 x_{29} & +  0.89 x_{6} & +  0.89 x_{12}\\
 x_{214}   &  -0.333333333327 & +  0.22 x_{82} & +  0.22 x_{5} & +  0.33 x_{20} & +  0.22 x_{122} & +  0.00 x_{29} & +  0.44 x_{6} & +  0.44 x_{12}\\
 x_{215}   &  -0.666666666666 & +  0.11 x_{82} & +  0.11 x_{5} & +  0.67 x_{20} & +  0.11 x_{122} & +  0.00 x_{29} & +  0.22 x_{6} & +  0.22 x_{12}\\
 x_{216}   &  -0.333333333341 & +  0.22 x_{82} & +  0.22 x_{5} & +  0.33 x_{20} & +  0.22 x_{122} & +  1.00 x_{29} & +  0.44 x_{6} & +  0.44 x_{12}\\
 x_{217}   &  -0.333333333334 & +  0.56 x_{82} & +  0.56 x_{5} & +  0.33 x_{20} & +  0.56 x_{122} & +  1.00 x_{29} & +  0.11 x_{6} & +  0.11 x_{12}\\
 x_{218}   &  -0.666666666659 & +  0.78 x_{82} & +  0.78 x_{5} & +  0.67 x_{20} & +  0.78 x_{122} & +  0.00 x_{29} & +  0.56 x_{6} & +  0.56 x_{12}\\
 x_{219}   &  -0.333333333324 & +  0.22 x_{82} & +  0.22 x_{5} & +  0.33 x_{20} & +  0.22 x_{122} & +  0.00 x_{29} & +  0.44 x_{6} & +  0.44 x_{12}\\
 x_{220}   &  -0.666666666658 & +  0.78 x_{82} & +  0.78 x_{5} & +  0.67 x_{20} & +  0.78 x_{122} & +  0.00 x_{29} & +  0.56 x_{6} & +  0.56 x_{12}\\
 x_{221}   &  -0.666666666657 & +  0.78 x_{82} & +  0.78 x_{5} & +  0.67 x_{20} & +  0.78 x_{122} & +  0.00 x_{29} & +  0.56 x_{6} & +  0.56 x_{12}\\
 x_{222}   &  -0.333333333327 & +  0.22 x_{82} & +  0.22 x_{5} & +  0.33 x_{20} & +  0.22 x_{122} & +  0.00 x_{29} & +  0.44 x_{6} & +  0.44 x_{12}\\
 x_{223}   &  -0.333333333327 & +  0.22 x_{82} & +  0.22 x_{5} & +  0.33 x_{20} & +  0.22 x_{122} & +  0.00 x_{29} & +  0.44 x_{6} & +  0.44 x_{12}\\
 x_{224}   &  -0.666666666657 & +  0.78 x_{82} & +  0.78 x_{5} & +  0.67 x_{20} & +  0.78 x_{122} & +  0.00 x_{29} & +  0.56 x_{6} & +  0.56 x_{12}\\
 x_{225}   &  -0.333333333327 & +  0.22 x_{82} & +  0.22 x_{5} & +  0.33 x_{20} & +  0.22 x_{122} & +  0.00 x_{29} & +  0.44 x_{6} & +  0.44 x_{12}\\
 x_{226}   &  -0.666666666657 & +  0.78 x_{82} & +  0.78 x_{5} & +  0.67 x_{20} & +  0.78 x_{122} & +  0.00 x_{29} & +  0.56 x_{6} & +  0.56 x_{12}\\
 x_{227}   &  -0.666666666657 & +  0.78 x_{82} & +  0.78 x_{5} & +  0.67 x_{20} & +  0.78 x_{122} & +  0.00 x_{29} & +  0.56 x_{6} & +  0.56 x_{12}\\
 x_{228}   &  -0.333333333325 & +  0.22 x_{82} & +  0.22 x_{5} & +  0.33 x_{20} & +  0.22 x_{122} & +  0.00 x_{29} & +  0.44 x_{6} & +  0.44 x_{12}\\
 x_{229}   &  -0.333333333325 & +  0.22 x_{82} & +  0.22 x_{5} & +  0.33 x_{20} & +  0.22 x_{122} & +  0.00 x_{29} & +  0.44 x_{6} & +  0.44 x_{12}\\
 x_{230}   &  -0.666666666657 & +  0.78 x_{82} & +  0.78 x_{5} & +  0.67 x_{20} & +  0.78 x_{122} & +  0.00 x_{29} & +  0.56 x_{6} & +  0.56 x_{12}\\
 x_{231}   &  -0.666666666657 & +  0.78 x_{82} & +  0.78 x_{5} & +  0.67 x_{20} & +  0.78 x_{122} & +  0.00 x_{29} & +  0.56 x_{6} & +  0.56 x_{12}\\
 x_{232}   &  -0.666666666658 & +  0.78 x_{82} & +  0.78 x_{5} & +  0.67 x_{20} & +  0.78 x_{122} & +  0.00 x_{29} & +  0.56 x_{6} & +  0.56 x_{12}\\
 x_{233}   &  -0.333333333325 & +  0.22 x_{82} & +  0.22 x_{5} & +  0.33 x_{20} & +  0.22 x_{122} & +  0.00 x_{29} & +  0.44 x_{6} & +  0.44 x_{12}\\
 x_{234}   &  -0.333333333324 & +  0.22 x_{82} & +  0.22 x_{5} & +  0.33 x_{20} & +  0.22 x_{122} & +  0.00 x_{29} & +  0.44 x_{6} & +  0.44 x_{12}\\
 x_{235}   &  -0.333333333326 & +  0.22 x_{82} & +  0.22 x_{5} & +  0.33 x_{20} & +  0.22 x_{122} & +  0.00 x_{29} & +  0.44 x_{6} & +  0.44 x_{12}\\
 x_{236}   &  -0.333333333326 & +  0.22 x_{82} & +  0.22 x_{5} & +  0.33 x_{20} & +  0.22 x_{122} & +  0.00 x_{29} & +  0.44 x_{6} & +  0.44 x_{12}\\
\hline
z    &  4.0 & +  0.00 x_{82} & -2.00 x_{5} & -1.00 x_{20} & -0.00 x_{122} & +  0.00 x_{29} & +  0.00 x_{6} & +  0.00 x_{12}\\
\end{array}\]
Forming the dual dictionary:

The Final Dual Dictionary is: 

 Final primal dictionary obtained: 
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{121}   &  1.00000000001 & +  1.33 x_{2} & -1.33 x_{5} & -3.67 x_{20} & +  0.33 x_{78} & +  2.00 x_{155} & +  1.33 x_{6} & +  0.33 x_{73}\\
 x_{120}   &  2.0 & +  0.67 x_{2} & -1.67 x_{5} & -5.33 x_{20} & -0.33 x_{78} & +  3.00 x_{155} & +  1.67 x_{6} & +  0.67 x_{73}\\
 x_{72}   &  8.00000000001 & + 13.17 x_{2} & -13.67 x_{5} & -4.83 x_{20} & + 13.67 x_{78} & +  1.00 x_{155} & +  0.67 x_{6} & -15.33 x_{73}\\
 x_{11}   &  62.0 & -13.67 x_{2} & -4.33 x_{5} & +  9.33 x_{20} & -8.67 x_{78} & -6.00 x_{155} & + 17.33 x_{6} & + 12.33 x_{73}\\
 x_{7}   &  5.0 & -0.33 x_{2} & -0.67 x_{5} & -1.33 x_{20} & -0.33 x_{78} & -0.00 x_{155} & +  1.67 x_{6} & +  0.67 x_{73}\\
 x_{15}   &  8.93729534822e-15 & +  0.50 x_{2} & -0.00 x_{5} & +  0.50 x_{20} & +  0.00 x_{78} & -0.00 x_{155} & -0.00 x_{6} & -0.00 x_{73}\\
 x_{61}   &  -6.69464483849e-13 & -1.33 x_{2} & +  0.33 x_{5} & -0.33 x_{20} & -0.33 x_{78} & -0.00 x_{155} & -0.33 x_{6} & +  1.67 x_{73}\\
 x_{29}   &  1.11022302463e-14 & -0.50 x_{2} & +  1.00 x_{5} & +  1.50 x_{20} & +  0.00 x_{78} & +  0.00 x_{155} & -1.00 x_{6} & -0.00 x_{73}\\
 x_{16}   &  0.999999999999 & -0.83 x_{2} & +  0.33 x_{5} & -1.83 x_{20} & -0.33 x_{78} & -0.00 x_{155} & +  0.67 x_{6} & +  1.67 x_{73}\\
 x_{17}   &  3.0 & -1.83 x_{2} & -1.67 x_{5} & -7.83 x_{20} & -2.33 x_{78} & +  3.00 x_{155} & +  1.67 x_{6} & +  3.67 x_{73}\\
 x_{14}   &  -1.35169653248e-12 & -2.67 x_{2} & +  0.67 x_{5} & -1.67 x_{20} & -1.67 x_{78} & -0.00 x_{155} & +  0.33 x_{6} & +  3.33 x_{73}\\
 x_{19}   &  7.0 & +  5.00 x_{2} & -8.00 x_{5} & -5.00 x_{20} & +  8.00 x_{78} & -0.00 x_{155} & -0.00 x_{6} & -7.00 x_{73}\\
 x_{1}   &  -3.50386386572e-13 & -1.50 x_{2} & +  1.00 x_{5} & +  1.50 x_{20} & -1.00 x_{78} & +  0.00 x_{155} & -1.00 x_{6} & +  1.00 x_{73}\\
 x_{21}   &  5.0 & +  4.50 x_{2} & -6.00 x_{5} & -2.50 x_{20} & +  6.00 x_{78} & +  0.00 x_{155} & -0.00 x_{6} & -6.00 x_{73}\\
 x_{152}   &  1.00000000001 & +  1.00 x_{2} & -2.00 x_{5} & -4.00 x_{20} & +  0.00 x_{78} & +  2.00 x_{155} & +  2.00 x_{6} & -0.00 x_{73}\\
 x_{23}   &  1.0 & -0.67 x_{2} & -0.33 x_{5} & -0.67 x_{20} & +  0.33 x_{78} & -0.00 x_{155} & +  0.33 x_{6} & +  0.33 x_{73}\\
 x_{24}   &  6.0 & +  4.50 x_{2} & -7.00 x_{5} & -4.50 x_{20} & +  7.00 x_{78} & -0.00 x_{155} & -0.00 x_{6} & -6.00 x_{73}\\
 x_{25}   &  2.22044604925e-16 & -0.00 x_{2} & +  0.00 x_{5} & +  1.00 x_{20} & -0.00 x_{78} & -0.00 x_{155} & +  0.00 x_{6} & +  0.00 x_{73}\\
 x_{26}   &  7.0 & +  7.33 x_{2} & -9.33 x_{5} & -3.67 x_{20} & +  9.33 x_{78} & -0.00 x_{155} & +  0.33 x_{6} & -9.67 x_{73}\\
 x_{27}   &  -8.18234369147e-13 & -2.00 x_{2} & +  1.00 x_{5} & +  0.00 x_{20} & -1.00 x_{78} & +  0.00 x_{155} & +  0.00 x_{6} & +  2.00 x_{73}\\
 x_{18}   &  7.0 & +  6.17 x_{2} & -8.67 x_{5} & -3.83 x_{20} & +  8.67 x_{78} & -0.00 x_{155} & -0.33 x_{6} & -8.33 x_{73}\\
 x_{22}   &  -1.12132525487e-12 & -2.33 x_{2} & +  1.33 x_{5} & -0.33 x_{20} & -1.33 x_{78} & -0.00 x_{155} & -0.33 x_{6} & +  2.67 x_{73}\\
 x_{30}   &  1.11022302463e-14 & -0.50 x_{2} & +  1.00 x_{5} & +  1.50 x_{20} & +  0.00 x_{78} & +  0.00 x_{155} & -1.00 x_{6} & -0.00 x_{73}\\
 x_{31}   &  13.0 & + 13.33 x_{2} & -16.33 x_{5} & -6.67 x_{20} & + 17.33 x_{78} & +  0.00 x_{155} & -0.67 x_{6} & -17.67 x_{73}\\
 x_{32}   &  8.0 & +  7.50 x_{2} & -9.00 x_{5} & -2.50 x_{20} & + 10.00 x_{78} & +  0.00 x_{155} & -1.00 x_{6} & -10.00 x_{73}\\
 x_{33}   &  9.0 & +  8.00 x_{2} & -11.00 x_{5} & -3.00 x_{20} & + 11.00 x_{78} & -0.00 x_{155} & -1.00 x_{6} & -11.00 x_{73}\\
 x_{34}   &  3.0 & +  2.00 x_{2} & -3.00 x_{5} & +  1.00 x_{20} & +  3.00 x_{78} & -0.00 x_{155} & -1.00 x_{6} & -3.00 x_{73}\\
 x_{35}   &  6.0 & +  5.00 x_{2} & -6.00 x_{5} & -1.00 x_{20} & +  7.00 x_{78} & -0.00 x_{155} & -1.00 x_{6} & -7.00 x_{73}\\
 x_{36}   &  1.0 & +  0.50 x_{2} & -1.00 x_{5} & +  1.50 x_{20} & +  1.00 x_{78} & +  0.00 x_{155} & -1.00 x_{6} & -1.00 x_{73}\\
 x_{37}   &  6.0 & +  6.33 x_{2} & -8.33 x_{5} & -2.67 x_{20} & +  8.33 x_{78} & +  0.00 x_{155} & -0.67 x_{6} & -8.67 x_{73}\\
 x_{38}   &  7.0 & +  7.33 x_{2} & -8.33 x_{5} & -2.67 x_{20} & +  9.33 x_{78} & -0.00 x_{155} & -0.67 x_{6} & -9.67 x_{73}\\
 x_{39}   &  6.0 & +  6.33 x_{2} & -7.33 x_{5} & -2.67 x_{20} & +  8.33 x_{78} & -0.00 x_{155} & -0.67 x_{6} & -8.67 x_{73}\\
 x_{40}   &  10.0 & + 10.33 x_{2} & -12.33 x_{5} & -4.67 x_{20} & + 13.33 x_{78} & +  0.00 x_{155} & -0.67 x_{6} & -13.67 x_{73}\\
 x_{41}   &  6.0 & +  5.00 x_{2} & -7.00 x_{5} & -1.00 x_{20} & +  7.00 x_{78} & -0.00 x_{155} & -1.00 x_{6} & -7.00 x_{73}\\
 x_{42}   &  6.0 & +  6.33 x_{2} & -8.33 x_{5} & -2.67 x_{20} & +  8.33 x_{78} & +  0.00 x_{155} & -0.67 x_{6} & -8.67 x_{73}\\
 x_{43}   &  8.0 & +  8.33 x_{2} & -10.33 x_{5} & -2.67 x_{20} & + 10.33 x_{78} & -0.00 x_{155} & -0.67 x_{6} & -10.67 x_{73}\\
 x_{44}   &  8.0 & +  7.50 x_{2} & -10.00 x_{5} & -2.50 x_{20} & + 10.00 x_{78} & -0.00 x_{155} & -1.00 x_{6} & -10.00 x_{73}\\
 x_{45}   &  14.0 & + 14.33 x_{2} & -17.33 x_{5} & -6.67 x_{20} & + 18.33 x_{78} & +  0.00 x_{155} & -0.67 x_{6} & -18.67 x_{73}\\
 x_{8}   &  8.00000000001 & + 12.17 x_{2} & -12.67 x_{5} & -4.83 x_{20} & + 12.67 x_{78} & +  1.00 x_{155} & +  0.67 x_{6} & -15.33 x_{73}\\
 x_{9}   &  3.99999999999 & -30.50 x_{2} & + 13.00 x_{5} & + 36.50 x_{20} & -18.00 x_{78} & -7.00 x_{155} & -15.00 x_{6} & + 21.00 x_{73}\\
 x_{48}   &  11.0 & + 13.50 x_{2} & -15.00 x_{5} & -6.50 x_{20} & + 16.00 x_{78} & +  1.00 x_{155} & -0.00 x_{6} & -17.00 x_{73}\\
 x_{49}   &  16.0 & + 17.67 x_{2} & -20.67 x_{5} & -9.33 x_{20} & + 21.67 x_{78} & +  1.00 x_{155} & -0.33 x_{6} & -22.33 x_{73}\\
 x_{50}   &  13.0 & + 15.83 x_{2} & -18.33 x_{5} & -8.17 x_{20} & + 18.33 x_{78} & +  1.00 x_{155} & +  0.33 x_{6} & -19.67 x_{73}\\
 x_{47}   &  3.0 & +  1.67 x_{2} & -3.67 x_{5} & -2.33 x_{20} & +  3.67 x_{78} & +  0.00 x_{155} & -0.33 x_{6} & -2.33 x_{73}\\
 x_{52}   &  2.0 & -1.33 x_{2} & -0.67 x_{5} & -2.33 x_{20} & +  0.67 x_{78} & -0.00 x_{155} & -0.33 x_{6} & +  1.67 x_{73}\\
 x_{53}   &  3.0 & +  0.67 x_{2} & -2.67 x_{5} & -3.33 x_{20} & +  2.67 x_{78} & -0.00 x_{155} & -0.33 x_{6} & -0.33 x_{73}\\
 x_{54}   &  12.0 & + 14.00 x_{2} & -16.00 x_{5} & -7.00 x_{20} & + 17.00 x_{78} & +  1.00 x_{155} & -0.00 x_{6} & -18.00 x_{73}\\
 x_{55}   &  12.0 & + 13.83 x_{2} & -16.33 x_{5} & -8.17 x_{20} & + 16.33 x_{78} & +  1.00 x_{155} & +  0.33 x_{6} & -16.67 x_{73}\\
 x_{56}   &  8.0 & +  7.00 x_{2} & -9.00 x_{5} & -4.00 x_{20} & + 10.00 x_{78} & -0.00 x_{155} & -1.00 x_{6} & -9.00 x_{73}\\
 x_{57}   &  2.0 & -1.33 x_{2} & -0.67 x_{5} & -2.33 x_{20} & +  0.67 x_{78} & -0.00 x_{155} & -0.33 x_{6} & +  1.67 x_{73}\\
 x_{58}   &  2.0 & +  0.17 x_{2} & -1.67 x_{5} & -0.83 x_{20} & +  1.67 x_{78} & -0.00 x_{155} & -0.33 x_{6} & -0.33 x_{73}\\
 x_{59}   &  13.0 & + 16.50 x_{2} & -18.00 x_{5} & -6.50 x_{20} & + 19.00 x_{78} & +  1.00 x_{155} & -0.00 x_{6} & -21.00 x_{73}\\
 x_{60}   &  1.0 & +  0.17 x_{2} & -0.67 x_{5} & -0.83 x_{20} & +  0.67 x_{78} & -0.00 x_{155} & -0.33 x_{6} & +  0.67 x_{73}\\
 x_{10}   &  -2.28683738612e-12 & -3.50 x_{2} & +  2.00 x_{5} & +  0.50 x_{20} & -2.00 x_{78} & -1.00 x_{155} & -1.00 x_{6} & +  4.00 x_{73}\\
 x_{62}   &  6.0 & +  6.00 x_{2} & -7.00 x_{5} & -3.00 x_{20} & +  8.00 x_{78} & -0.00 x_{155} & -1.00 x_{6} & -7.00 x_{73}\\
 x_{63}   &  3.0 & +  1.67 x_{2} & -3.67 x_{5} & -2.33 x_{20} & +  3.67 x_{78} & -0.00 x_{155} & -0.33 x_{6} & -2.33 x_{73}\\
 x_{64}   &  8.0 & +  7.50 x_{2} & -9.00 x_{5} & -3.50 x_{20} & + 10.00 x_{78} & -0.00 x_{155} & -1.00 x_{6} & -9.00 x_{73}\\
 x_{65}   &  2.0 & +  2.67 x_{2} & -1.67 x_{5} & -0.33 x_{20} & +  2.67 x_{78} & -0.00 x_{155} & -0.33 x_{6} & -2.33 x_{73}\\
 x_{66}   &  8.0 & +  5.00 x_{2} & -8.00 x_{5} & -4.00 x_{20} & +  9.00 x_{78} & -0.00 x_{155} & -1.00 x_{6} & -7.00 x_{73}\\
 x_{67}   &  3.0 & +  1.67 x_{2} & -3.67 x_{5} & -2.33 x_{20} & +  3.67 x_{78} & -0.00 x_{155} & -0.33 x_{6} & -2.33 x_{73}\\
 x_{68}   &  0.999999999999 & -1.00 x_{2} & +  0.00 x_{5} & -2.00 x_{20} & -0.00 x_{78} & -0.00 x_{155} & +  0.00 x_{6} & +  2.00 x_{73}\\
 x_{69}   &  9.00000000001 & + 12.33 x_{2} & -13.33 x_{5} & -5.67 x_{20} & + 13.33 x_{78} & +  1.00 x_{155} & +  0.33 x_{6} & -14.67 x_{73}\\
 x_{70}   &  4.0 & +  4.33 x_{2} & -4.33 x_{5} & -1.67 x_{20} & +  5.33 x_{78} & -0.00 x_{155} & -0.67 x_{6} & -4.67 x_{73}\\
 x_{71}   &  8.00000000001 & + 11.17 x_{2} & -12.67 x_{5} & -4.83 x_{20} & + 12.67 x_{78} & +  1.00 x_{155} & +  0.67 x_{6} & -13.33 x_{73}\\
 x_{46}   &  8.00000000001 & + 11.67 x_{2} & -12.67 x_{5} & -5.33 x_{20} & + 12.67 x_{78} & +  1.00 x_{155} & +  0.67 x_{6} & -14.33 x_{73}\\
 x_{51}   &  1.0 & -0.00 x_{2} & -1.00 x_{5} & -1.00 x_{20} & +  1.00 x_{78} & -0.00 x_{155} & -0.00 x_{6} & +  0.00 x_{73}\\
 x_{74}   &  -3.79252185212e-13 & -0.00 x_{2} & +  1.00 x_{5} & +  0.00 x_{20} & -0.00 x_{78} & -0.00 x_{155} & +  0.00 x_{6} & +  1.00 x_{73}\\
 x_{75}   &  12.0 & + 16.50 x_{2} & -19.00 x_{5} & -7.50 x_{20} & + 19.00 x_{78} & +  1.00 x_{155} & -0.00 x_{6} & -20.00 x_{73}\\
 x_{76}   &  7.97695243191e-14 & -0.00 x_{2} & +  0.00 x_{5} & +  0.00 x_{20} & -0.00 x_{78} & +  0.00 x_{155} & +  0.00 x_{6} & +  1.00 x_{73}\\
 x_{77}   &  4.0 & +  4.17 x_{2} & -4.67 x_{5} & -1.83 x_{20} & +  5.67 x_{78} & -0.00 x_{155} & -0.33 x_{6} & -5.33 x_{73}\\
 x_{4}   &  0.999999999998 & -4.83 x_{2} & +  2.33 x_{5} & +  5.17 x_{20} & -2.33 x_{78} & -1.00 x_{155} & -1.33 x_{6} & +  2.67 x_{73}\\
 x_{79}   &  12.0 & + 15.83 x_{2} & -18.33 x_{5} & -7.17 x_{20} & + 18.33 x_{78} & +  1.00 x_{155} & +  0.33 x_{6} & -19.67 x_{73}\\
 x_{80}   &  9.00000000001 & + 13.17 x_{2} & -13.67 x_{5} & -5.83 x_{20} & + 14.67 x_{78} & +  1.00 x_{155} & +  0.67 x_{6} & -15.33 x_{73}\\
 x_{81}   &  5.0 & +  5.67 x_{2} & -7.67 x_{5} & -2.33 x_{20} & +  7.67 x_{78} & +  0.00 x_{155} & -0.33 x_{6} & -7.33 x_{73}\\
 x_{13}   &  3.0 & +  3.67 x_{2} & -4.67 x_{5} & -5.33 x_{20} & +  2.67 x_{78} & +  2.00 x_{155} & +  1.67 x_{6} & -3.33 x_{73}\\
 x_{83}   &  5.0 & +  5.00 x_{2} & -6.00 x_{5} & -2.00 x_{20} & +  7.00 x_{78} & -0.00 x_{155} & -0.00 x_{6} & -6.00 x_{73}\\
 x_{84}   &  1.47659662275e-13 & +  0.67 x_{2} & -0.67 x_{5} & -0.33 x_{20} & +  0.67 x_{78} & -0.00 x_{155} & +  0.67 x_{6} & -0.33 x_{73}\\
 x_{85}   &  5.0 & +  6.17 x_{2} & -7.67 x_{5} & -1.83 x_{20} & +  7.67 x_{78} & +  0.00 x_{155} & -0.33 x_{6} & -7.33 x_{73}\\
 x_{86}   &  4.49307258065e-13 & +  1.00 x_{2} & -1.00 x_{5} & -0.00 x_{20} & +  1.00 x_{78} & +  0.00 x_{155} & -0.00 x_{6} & -1.00 x_{73}\\
 x_{87}   &  13.0 & + 17.00 x_{2} & -20.00 x_{5} & -8.00 x_{20} & + 20.00 x_{78} & +  1.00 x_{155} & -0.00 x_{6} & -21.00 x_{73}\\
 x_{88}   &  12.0 & + 16.50 x_{2} & -19.00 x_{5} & -7.50 x_{20} & + 19.00 x_{78} & +  1.00 x_{155} & -0.00 x_{6} & -20.00 x_{73}\\
 x_{89}   &  3.0 & +  3.00 x_{2} & -5.00 x_{5} & -2.00 x_{20} & +  5.00 x_{78} & -0.00 x_{155} & -0.00 x_{6} & -4.00 x_{73}\\
 x_{90}   &  -3.88578058619e-14 & -0.00 x_{2} & -1.00 x_{5} & -0.00 x_{20} & +  1.00 x_{78} & -0.00 x_{155} & +  0.00 x_{6} & +  0.00 x_{73}\\
 x_{91}   &  5.0 & +  4.50 x_{2} & -7.00 x_{5} & -2.50 x_{20} & +  7.00 x_{78} & -0.00 x_{155} & -0.00 x_{6} & -6.00 x_{73}\\
 x_{92}   &  13.0 & + 16.67 x_{2} & -19.67 x_{5} & -7.33 x_{20} & + 19.67 x_{78} & +  1.00 x_{155} & +  0.67 x_{6} & -20.33 x_{73}\\
 x_{93}   &  2.0 & +  2.00 x_{2} & -2.00 x_{5} & -1.00 x_{20} & +  3.00 x_{78} & -0.00 x_{155} & -0.00 x_{6} & -2.00 x_{73}\\
 x_{94}   &  -5.05151476205e-14 & -0.00 x_{2} & +  0.00 x_{5} & -0.00 x_{20} & +  1.00 x_{78} & -0.00 x_{155} & -0.00 x_{6} & +  0.00 x_{73}\\
 x_{95}   &  12.0 & + 15.67 x_{2} & -17.67 x_{5} & -7.33 x_{20} & + 18.67 x_{78} & +  1.00 x_{155} & +  0.67 x_{6} & -19.33 x_{73}\\
 x_{96}   &  12.0 & + 16.50 x_{2} & -18.00 x_{5} & -7.50 x_{20} & + 19.00 x_{78} & +  1.00 x_{155} & -0.00 x_{6} & -20.00 x_{73}\\
 x_{97}   &  12.0 & + 16.00 x_{2} & -19.00 x_{5} & -7.00 x_{20} & + 19.00 x_{78} & +  1.00 x_{155} & -0.00 x_{6} & -20.00 x_{73}\\
 x_{98}   &  11.0 & + 15.00 x_{2} & -17.00 x_{5} & -6.00 x_{20} & + 17.00 x_{78} & +  1.00 x_{155} & +  1.00 x_{6} & -18.00 x_{73}\\
 x_{99}   &  4.0 & +  4.17 x_{2} & -4.67 x_{5} & -1.83 x_{20} & +  5.67 x_{78} & -0.00 x_{155} & -0.33 x_{6} & -5.33 x_{73}\\
 x_{100}   &  3.0 & +  3.17 x_{2} & -4.67 x_{5} & -0.83 x_{20} & +  4.67 x_{78} & -0.00 x_{155} & -0.33 x_{6} & -4.33 x_{73}\\
 x_{101}   &  5.0 & +  5.00 x_{2} & -7.00 x_{5} & -2.00 x_{20} & +  7.00 x_{78} & -0.00 x_{155} & -0.00 x_{6} & -6.00 x_{73}\\
 x_{102}   &  1.0 & +  1.83 x_{2} & -2.33 x_{5} & -0.17 x_{20} & +  2.33 x_{78} & -0.00 x_{155} & +  0.33 x_{6} & -1.67 x_{73}\\
 x_{103}   &  5.0 & +  6.00 x_{2} & -7.00 x_{5} & -2.00 x_{20} & +  7.00 x_{78} & -0.00 x_{155} & -0.00 x_{6} & -7.00 x_{73}\\
 x_{104}   &  5.0 & +  6.00 x_{2} & -6.00 x_{5} & -2.00 x_{20} & +  7.00 x_{78} & +  0.00 x_{155} & -0.00 x_{6} & -7.00 x_{73}\\
 x_{105}   &  11.0 & + 15.67 x_{2} & -16.67 x_{5} & -6.33 x_{20} & + 17.67 x_{78} & +  1.00 x_{155} & +  0.67 x_{6} & -19.33 x_{73}\\
 x_{106}   &  2.0 & +  2.67 x_{2} & -3.67 x_{5} & -0.33 x_{20} & +  3.67 x_{78} & +  0.00 x_{155} & -0.33 x_{6} & -3.33 x_{73}\\
 x_{107}   &  3.0 & +  2.50 x_{2} & -4.00 x_{5} & -1.50 x_{20} & +  4.00 x_{78} & +  0.00 x_{155} & -0.00 x_{6} & -3.00 x_{73}\\
 x_{108}   &  4.0 & +  4.00 x_{2} & -5.00 x_{5} & -2.00 x_{20} & +  6.00 x_{78} & -0.00 x_{155} & -0.00 x_{6} & -5.00 x_{73}\\
 x_{109}   &  13.0 & + 17.67 x_{2} & -19.67 x_{5} & -7.33 x_{20} & + 19.67 x_{78} & +  1.00 x_{155} & +  0.67 x_{6} & -21.33 x_{73}\\
 x_{110}   &  4.0 & +  4.50 x_{2} & -5.00 x_{5} & -1.50 x_{20} & +  6.00 x_{78} & -0.00 x_{155} & -0.00 x_{6} & -5.00 x_{73}\\
 x_{111}   &  1.0 & +  1.50 x_{2} & -2.00 x_{5} & -0.50 x_{20} & +  2.00 x_{78} & +  0.00 x_{155} & -0.00 x_{6} & -2.00 x_{73}\\
 x_{112}   &  5.0 & +  4.50 x_{2} & -6.00 x_{5} & -2.50 x_{20} & +  7.00 x_{78} & -0.00 x_{155} & -0.00 x_{6} & -6.00 x_{73}\\
 x_{113}   &  11.0 & + 14.67 x_{2} & -15.67 x_{5} & -6.33 x_{20} & + 16.67 x_{78} & +  1.00 x_{155} & +  0.67 x_{6} & -17.33 x_{73}\\
 x_{114}   &  11.0 & + 14.67 x_{2} & -15.67 x_{5} & -6.33 x_{20} & + 16.67 x_{78} & +  1.00 x_{155} & +  0.67 x_{6} & -17.33 x_{73}\\
 x_{115}   &  4.0 & +  4.50 x_{2} & -5.00 x_{5} & -1.50 x_{20} & +  6.00 x_{78} & -0.00 x_{155} & -0.00 x_{6} & -5.00 x_{73}\\
 x_{116}   &  5.0 & +  6.00 x_{2} & -6.00 x_{5} & -2.00 x_{20} & +  7.00 x_{78} & -0.00 x_{155} & -0.00 x_{6} & -7.00 x_{73}\\
 x_{117}   &  3.0 & +  3.00 x_{2} & -4.00 x_{5} & -1.00 x_{20} & +  4.00 x_{78} & +  0.00 x_{155} & -0.00 x_{6} & -3.00 x_{73}\\
 x_{118}   &  5.0 & +  5.67 x_{2} & -6.67 x_{5} & -2.33 x_{20} & +  7.67 x_{78} & -0.00 x_{155} & -0.33 x_{6} & -7.33 x_{73}\\
 x_{119}   &  5.0 & +  5.33 x_{2} & -6.33 x_{5} & -1.67 x_{20} & +  7.33 x_{78} & -0.00 x_{155} & -0.67 x_{6} & -6.67 x_{73}\\
 x_{153}   &  1.00000000001 & +  2.17 x_{2} & -2.67 x_{5} & -4.83 x_{20} & +  0.67 x_{78} & +  3.00 x_{155} & +  2.67 x_{6} & -0.33 x_{73}\\
 x_{3}   &  2.0 & +  0.50 x_{2} & +  0.00 x_{5} & -0.50 x_{20} & -0.00 x_{78} & -0.00 x_{155} & +  1.00 x_{6} & +  0.00 x_{73}\\
 x_{12}   &  3.0 & +  1.33 x_{2} & -4.33 x_{5} & -9.67 x_{20} & -0.67 x_{78} & +  4.00 x_{155} & +  3.33 x_{6} & +  0.33 x_{73}\\
 x_{123}   &  2.0 & +  1.17 x_{2} & -1.67 x_{5} & -5.83 x_{20} & -0.33 x_{78} & +  3.00 x_{155} & +  1.67 x_{6} & +  0.67 x_{73}\\
 x_{124}   &  2.15605311382e-12 & +  0.67 x_{2} & -0.67 x_{5} & -1.33 x_{20} & +  0.67 x_{78} & +  1.00 x_{155} & +  0.67 x_{6} & +  0.67 x_{73}\\
 x_{125}   &  2.00000000001 & +  1.17 x_{2} & -1.67 x_{5} & -5.83 x_{20} & -0.33 x_{78} & +  3.00 x_{155} & +  1.67 x_{6} & +  0.67 x_{73}\\
 x_{126}   &  1.0 & +  1.17 x_{2} & -0.67 x_{5} & -2.83 x_{20} & +  0.67 x_{78} & +  2.00 x_{155} & +  0.67 x_{6} & +  0.67 x_{73}\\
 x_{127}   &  2.31151209285e-12 & +  0.00 x_{2} & -0.00 x_{5} & -1.00 x_{20} & +  0.00 x_{78} & +  1.00 x_{155} & -0.00 x_{6} & +  1.00 x_{73}\\
 x_{128}   &  2.0 & +  1.33 x_{2} & -2.33 x_{5} & -6.67 x_{20} & +  0.33 x_{78} & +  3.00 x_{155} & +  2.33 x_{6} & +  0.33 x_{73}\\
 x_{129}   &  1.99999999999 & +  0.67 x_{2} & -1.67 x_{5} & -5.33 x_{20} & -0.33 x_{78} & +  3.00 x_{155} & +  1.67 x_{6} & +  0.67 x_{73}\\
 x_{130}   &  2.0 & +  1.00 x_{2} & -2.00 x_{5} & -6.00 x_{20} & -0.00 x_{78} & +  3.00 x_{155} & +  2.00 x_{6} & +  1.00 x_{73}\\
 x_{131}   &  2.0 & +  1.83 x_{2} & -2.33 x_{5} & -6.17 x_{20} & +  0.33 x_{78} & +  3.00 x_{155} & +  2.33 x_{6} & +  0.33 x_{73}\\
 x_{132}   &  2.0 & +  1.00 x_{2} & -2.00 x_{5} & -6.00 x_{20} & -0.00 x_{78} & +  3.00 x_{155} & +  2.00 x_{6} & +  1.00 x_{73}\\
 x_{133}   &  1.99999999999 & +  1.33 x_{2} & -2.33 x_{5} & -6.67 x_{20} & +  0.33 x_{78} & +  3.00 x_{155} & +  2.33 x_{6} & +  0.33 x_{73}\\
 x_{134}   &  2.0 & +  1.50 x_{2} & -2.00 x_{5} & -6.50 x_{20} & -0.00 x_{78} & +  3.00 x_{155} & +  2.00 x_{6} & +  1.00 x_{73}\\
 x_{135}   &  2.0 & +  0.67 x_{2} & -1.67 x_{5} & -5.33 x_{20} & -0.33 x_{78} & +  3.00 x_{155} & +  1.67 x_{6} & +  0.67 x_{73}\\
 x_{136}   &  2.0 & +  0.67 x_{2} & -1.67 x_{5} & -5.33 x_{20} & -0.33 x_{78} & +  3.00 x_{155} & +  1.67 x_{6} & +  0.67 x_{73}\\
 x_{137}   &  1.99999999999 & +  1.33 x_{2} & -2.33 x_{5} & -6.67 x_{20} & +  0.33 x_{78} & +  3.00 x_{155} & +  2.33 x_{6} & +  0.33 x_{73}\\
 x_{138}   &  2.0 & +  1.00 x_{2} & -2.00 x_{5} & -6.00 x_{20} & -0.00 x_{78} & +  3.00 x_{155} & +  2.00 x_{6} & +  1.00 x_{73}\\
 x_{139}   &  2.0 & +  0.67 x_{2} & -1.67 x_{5} & -5.33 x_{20} & -0.33 x_{78} & +  3.00 x_{155} & +  1.67 x_{6} & +  0.67 x_{73}\\
 x_{140}   &  1.99999999999 & +  1.83 x_{2} & -2.33 x_{5} & -6.17 x_{20} & +  0.33 x_{78} & +  3.00 x_{155} & +  2.33 x_{6} & +  0.33 x_{73}\\
 x_{141}   &  1.99999999999 & +  1.33 x_{2} & -2.33 x_{5} & -6.67 x_{20} & +  0.33 x_{78} & +  3.00 x_{155} & +  2.33 x_{6} & +  0.33 x_{73}\\
 x_{142}   &  1.99999999999 & +  1.17 x_{2} & -1.67 x_{5} & -5.83 x_{20} & -0.33 x_{78} & +  3.00 x_{155} & +  1.67 x_{6} & +  0.67 x_{73}\\
 x_{143}   &  2.0 & +  1.17 x_{2} & -1.67 x_{5} & -5.83 x_{20} & -0.33 x_{78} & +  3.00 x_{155} & +  1.67 x_{6} & +  0.67 x_{73}\\
 x_{144}   &  1.99999999999 & +  1.33 x_{2} & -2.33 x_{5} & -6.67 x_{20} & +  0.33 x_{78} & +  3.00 x_{155} & +  2.33 x_{6} & +  0.33 x_{73}\\
 x_{145}   &  1.99999999999 & +  1.83 x_{2} & -2.33 x_{5} & -6.17 x_{20} & +  0.33 x_{78} & +  3.00 x_{155} & +  2.33 x_{6} & +  0.33 x_{73}\\
 x_{146}   &  2.0 & +  1.33 x_{2} & -2.33 x_{5} & -6.67 x_{20} & +  0.33 x_{78} & +  3.00 x_{155} & +  2.33 x_{6} & +  0.33 x_{73}\\
 x_{147}   &  1.99999999999 & +  1.17 x_{2} & -1.67 x_{5} & -5.83 x_{20} & -0.33 x_{78} & +  3.00 x_{155} & +  1.67 x_{6} & +  0.67 x_{73}\\
 x_{148}   &  1.99999999999 & +  1.17 x_{2} & -1.67 x_{5} & -5.83 x_{20} & -0.33 x_{78} & +  3.00 x_{155} & +  1.67 x_{6} & +  0.67 x_{73}\\
 x_{149}   &  2.0 & +  1.17 x_{2} & -1.67 x_{5} & -5.83 x_{20} & -0.33 x_{78} & +  3.00 x_{155} & +  1.67 x_{6} & +  0.67 x_{73}\\
 x_{150}   &  2.0 & +  1.17 x_{2} & -1.67 x_{5} & -5.83 x_{20} & -0.33 x_{78} & +  3.00 x_{155} & +  1.67 x_{6} & +  0.67 x_{73}\\
 x_{122}   &  1.70774505648e-12 & +  0.33 x_{2} & -0.33 x_{5} & -0.67 x_{20} & +  0.33 x_{78} & +  1.00 x_{155} & +  0.33 x_{6} & +  0.33 x_{73}\\
 x_{151}   &  2.0 & +  2.17 x_{2} & -2.67 x_{5} & -5.83 x_{20} & +  0.67 x_{78} & +  4.00 x_{155} & +  2.67 x_{6} & -0.33 x_{73}\\
 x_{82}   &  4.56412685422e-13 & +  1.50 x_{2} & -1.00 x_{5} & +  0.50 x_{20} & +  1.00 x_{78} & +  0.00 x_{155} & -0.00 x_{6} & -1.00 x_{73}\\
 x_{154}   &  1.99795735512e-12 & +  1.17 x_{2} & -0.67 x_{5} & -0.83 x_{20} & +  0.67 x_{78} & +  1.00 x_{155} & +  0.67 x_{6} & -0.33 x_{73}\\
 x_{28}   &  9.0 & +  9.00 x_{2} & -11.00 x_{5} & -4.00 x_{20} & + 12.00 x_{78} & +  0.00 x_{155} & -1.00 x_{6} & -12.00 x_{73}\\
 x_{156}   &  1.0 & +  1.00 x_{2} & -2.00 x_{5} & -4.00 x_{20} & +  0.00 x_{78} & +  2.00 x_{155} & +  2.00 x_{6} & -0.00 x_{73}\\
 x_{157}   &  2.00000000001 & +  2.67 x_{2} & -3.67 x_{5} & -7.33 x_{20} & +  0.67 x_{78} & +  4.00 x_{155} & +  3.67 x_{6} & -0.33 x_{73}\\
 x_{158}   &  1.00000000001 & +  2.17 x_{2} & -2.67 x_{5} & -4.83 x_{20} & +  0.67 x_{78} & +  3.00 x_{155} & +  2.67 x_{6} & -0.33 x_{73}\\
 x_{159}   &  1.0 & +  2.17 x_{2} & -2.67 x_{5} & -4.83 x_{20} & +  0.67 x_{78} & +  3.00 x_{155} & +  2.67 x_{6} & -0.33 x_{73}\\
 x_{160}   &  1.93334237508e-12 & +  0.50 x_{2} & -1.00 x_{5} & -1.50 x_{20} & +  0.00 x_{78} & +  1.00 x_{155} & +  1.00 x_{6} & -0.00 x_{73}\\
 x_{161}   &  2.0 & +  2.00 x_{2} & -4.00 x_{5} & -8.00 x_{20} & +  0.00 x_{78} & +  4.00 x_{155} & +  4.00 x_{6} & -0.00 x_{73}\\
 x_{162}   &  3.0295765896e-12 & +  1.17 x_{2} & -0.67 x_{5} & -0.83 x_{20} & +  0.67 x_{78} & +  1.00 x_{155} & +  0.67 x_{6} & -0.33 x_{73}\\
 x_{163}   &  1.0 & +  1.00 x_{2} & -2.00 x_{5} & -4.00 x_{20} & +  0.00 x_{78} & +  2.00 x_{155} & +  2.00 x_{6} & -0.00 x_{73}\\
 x_{164}   &  2.0 & +  2.00 x_{2} & -4.00 x_{5} & -8.00 x_{20} & +  0.00 x_{78} & +  4.00 x_{155} & +  4.00 x_{6} & -0.00 x_{73}\\
 x_{165}   &  2.0 & +  2.00 x_{2} & -4.00 x_{5} & -8.00 x_{20} & +  0.00 x_{78} & +  4.00 x_{155} & +  4.00 x_{6} & -0.00 x_{73}\\
 x_{166}   &  2.0 & +  2.00 x_{2} & -4.00 x_{5} & -8.00 x_{20} & +  0.00 x_{78} & +  4.00 x_{155} & +  4.00 x_{6} & -0.00 x_{73}\\
 x_{167}   &  2.0 & +  2.00 x_{2} & -4.00 x_{5} & -8.00 x_{20} & +  0.00 x_{78} & +  4.00 x_{155} & +  4.00 x_{6} & -0.00 x_{73}\\
 x_{168}   &  2.0 & +  2.00 x_{2} & -4.00 x_{5} & -8.00 x_{20} & +  0.00 x_{78} & +  4.00 x_{155} & +  4.00 x_{6} & -0.00 x_{73}\\
 x_{169}   &  2.0 & +  2.00 x_{2} & -4.00 x_{5} & -8.00 x_{20} & +  0.00 x_{78} & +  4.00 x_{155} & +  4.00 x_{6} & -0.00 x_{73}\\
 x_{170}   &  2.0 & +  2.00 x_{2} & -4.00 x_{5} & -8.00 x_{20} & +  0.00 x_{78} & +  4.00 x_{155} & +  4.00 x_{6} & -0.00 x_{73}\\
 x_{171}   &  2.0 & +  2.00 x_{2} & -4.00 x_{5} & -8.00 x_{20} & +  0.00 x_{78} & +  4.00 x_{155} & +  4.00 x_{6} & -0.00 x_{73}\\
 x_{172}   &  2.00000000001 & +  2.00 x_{2} & -4.00 x_{5} & -8.00 x_{20} & +  0.00 x_{78} & +  4.00 x_{155} & +  4.00 x_{6} & -0.00 x_{73}\\
 x_{173}   &  1.0 & +  0.50 x_{2} & -1.00 x_{5} & -2.50 x_{20} & +  0.00 x_{78} & +  2.00 x_{155} & +  1.00 x_{6} & -0.00 x_{73}\\
 x_{174}   &  1.00000000001 & +  2.17 x_{2} & -2.67 x_{5} & -4.83 x_{20} & +  0.67 x_{78} & +  3.00 x_{155} & +  2.67 x_{6} & -0.33 x_{73}\\
 x_{175}   &  2.00000000001 & +  2.67 x_{2} & -3.67 x_{5} & -7.33 x_{20} & +  0.67 x_{78} & +  4.00 x_{155} & +  3.67 x_{6} & -0.33 x_{73}\\
 x_{176}   &  2.00000000001 & +  2.67 x_{2} & -3.67 x_{5} & -7.33 x_{20} & +  0.67 x_{78} & +  4.00 x_{155} & +  3.67 x_{6} & -0.33 x_{73}\\
 x_{177}   &  1.0 & +  1.00 x_{2} & -2.00 x_{5} & -4.00 x_{20} & +  0.00 x_{78} & +  2.00 x_{155} & +  2.00 x_{6} & -0.00 x_{73}\\
 x_{178}   &  2.00000000001 & +  2.67 x_{2} & -3.67 x_{5} & -7.33 x_{20} & +  0.67 x_{78} & +  4.00 x_{155} & +  3.67 x_{6} & -0.33 x_{73}\\
 x_{179}   &  1.0 & +  1.00 x_{2} & -2.00 x_{5} & -4.00 x_{20} & +  0.00 x_{78} & +  2.00 x_{155} & +  2.00 x_{6} & -0.00 x_{73}\\
 x_{180}   &  1.1541878564e-12 & +  0.67 x_{2} & +  0.33 x_{5} & +  0.67 x_{20} & +  0.67 x_{78} & +  1.00 x_{155} & -0.33 x_{6} & -0.33 x_{73}\\
 x_{181}   &  1.0 & +  1.00 x_{2} & -2.00 x_{5} & -4.00 x_{20} & +  0.00 x_{78} & +  2.00 x_{155} & +  2.00 x_{6} & -0.00 x_{73}\\
 x_{182}   &  1.0 & +  1.00 x_{2} & -2.00 x_{5} & -4.00 x_{20} & +  0.00 x_{78} & +  2.00 x_{155} & +  2.00 x_{6} & -0.00 x_{73}\\
 x_{183}   &  1.0 & +  1.00 x_{2} & -2.00 x_{5} & -4.00 x_{20} & +  0.00 x_{78} & +  2.00 x_{155} & +  2.00 x_{6} & -0.00 x_{73}\\
 x_{184}   &  2.26574314866e-12 & +  1.17 x_{2} & -0.67 x_{5} & -0.83 x_{20} & +  0.67 x_{78} & +  1.00 x_{155} & +  0.67 x_{6} & -0.33 x_{73}\\
 x_{185}   &  1.0 & +  1.00 x_{2} & -2.00 x_{5} & -4.00 x_{20} & +  0.00 x_{78} & +  2.00 x_{155} & +  2.00 x_{6} & -0.00 x_{73}\\
 x_{186}   &  2.42583730881e-12 & +  0.50 x_{2} & -1.00 x_{5} & -1.50 x_{20} & +  0.00 x_{78} & +  1.00 x_{155} & +  1.00 x_{6} & -0.00 x_{73}\\
 x_{187}   &  1.70530256583e-13 & +  0.00 x_{2} & -0.00 x_{5} & -0.00 x_{20} & +  0.00 x_{78} & +  1.00 x_{155} & +  0.00 x_{6} & -0.00 x_{73}\\
 x_{188}   &  1.0 & +  2.17 x_{2} & -2.67 x_{5} & -4.83 x_{20} & +  0.67 x_{78} & +  3.00 x_{155} & +  2.67 x_{6} & -0.33 x_{73}\\
 x_{189}   &  1.0 & +  1.00 x_{2} & -2.00 x_{5} & -4.00 x_{20} & +  0.00 x_{78} & +  2.00 x_{155} & +  2.00 x_{6} & -0.00 x_{73}\\
 x_{190}   &  1.0 & +  1.00 x_{2} & -2.00 x_{5} & -4.00 x_{20} & +  0.00 x_{78} & +  2.00 x_{155} & +  2.00 x_{6} & -0.00 x_{73}\\
 x_{191}   &  2.36211050719e-12 & +  1.17 x_{2} & -0.67 x_{5} & -0.83 x_{20} & +  0.67 x_{78} & +  1.00 x_{155} & +  0.67 x_{6} & -0.33 x_{73}\\
 x_{192}   &  1.0 & +  2.17 x_{2} & -2.67 x_{5} & -4.83 x_{20} & +  0.67 x_{78} & +  3.00 x_{155} & +  2.67 x_{6} & -0.33 x_{73}\\
 x_{193}   &  2.85904633301e-12 & +  1.17 x_{2} & -0.67 x_{5} & -0.83 x_{20} & +  0.67 x_{78} & +  1.00 x_{155} & +  0.67 x_{6} & -0.33 x_{73}\\
 x_{194}   &  2.01394456667e-12 & +  1.17 x_{2} & -0.67 x_{5} & -0.83 x_{20} & +  0.67 x_{78} & +  1.00 x_{155} & +  0.67 x_{6} & -0.33 x_{73}\\
 x_{195}   &  2.83106871279e-12 & +  1.17 x_{2} & -0.67 x_{5} & -0.83 x_{20} & +  0.67 x_{78} & +  1.00 x_{155} & +  0.67 x_{6} & -0.33 x_{73}\\
 x_{196}   &  1.0 & +  1.00 x_{2} & -2.00 x_{5} & -4.00 x_{20} & +  0.00 x_{78} & +  2.00 x_{155} & +  2.00 x_{6} & -0.00 x_{73}\\
 x_{197}   &  1.0 & +  1.00 x_{2} & -2.00 x_{5} & -4.00 x_{20} & +  0.00 x_{78} & +  2.00 x_{155} & +  2.00 x_{6} & -0.00 x_{73}\\
 x_{198}   &  1.0 & +  2.17 x_{2} & -2.67 x_{5} & -4.83 x_{20} & +  0.67 x_{78} & +  3.00 x_{155} & +  2.67 x_{6} & -0.33 x_{73}\\
 x_{199}   &  1.0 & +  2.17 x_{2} & -2.67 x_{5} & -4.83 x_{20} & +  0.67 x_{78} & +  3.00 x_{155} & +  2.67 x_{6} & -0.33 x_{73}\\
 x_{200}   &  1.0 & +  1.00 x_{2} & -2.00 x_{5} & -4.00 x_{20} & +  0.00 x_{78} & +  2.00 x_{155} & +  2.00 x_{6} & -0.00 x_{73}\\
 x_{201}   &  1.0 & +  1.00 x_{2} & -2.00 x_{5} & -4.00 x_{20} & +  0.00 x_{78} & +  2.00 x_{155} & +  2.00 x_{6} & -0.00 x_{73}\\
 x_{202}   &  1.0 & +  0.50 x_{2} & -1.00 x_{5} & -2.50 x_{20} & +  0.00 x_{78} & +  2.00 x_{155} & +  1.00 x_{6} & -0.00 x_{73}\\
 x_{203}   &  2.71804800889e-12 & +  1.17 x_{2} & -0.67 x_{5} & -0.83 x_{20} & +  0.67 x_{78} & +  1.00 x_{155} & +  0.67 x_{6} & -0.33 x_{73}\\
 x_{204}   &  2.55528931348e-12 & +  1.17 x_{2} & -0.67 x_{5} & -0.83 x_{20} & +  0.67 x_{78} & +  1.00 x_{155} & +  0.67 x_{6} & -0.33 x_{73}\\
 x_{205}   &  2.0514701049e-12 & +  0.50 x_{2} & -1.00 x_{5} & -1.50 x_{20} & +  0.00 x_{78} & +  1.00 x_{155} & +  1.00 x_{6} & -0.00 x_{73}\\
 x_{206}   &  3.84914322639e-13 & +  0.00 x_{2} & -0.00 x_{5} & -0.00 x_{20} & +  0.00 x_{78} & +  1.00 x_{155} & +  0.00 x_{6} & -0.00 x_{73}\\
 x_{207}   &  2.3581137043e-12 & +  1.17 x_{2} & -0.67 x_{5} & -0.83 x_{20} & +  0.67 x_{78} & +  1.00 x_{155} & +  0.67 x_{6} & -0.33 x_{73}\\
 x_{208}   &  6.22224494151e-13 & +  0.00 x_{2} & -0.00 x_{5} & -0.00 x_{20} & +  0.00 x_{78} & +  1.00 x_{155} & +  0.00 x_{6} & -0.00 x_{73}\\
 x_{209}   &  1.0 & +  2.17 x_{2} & -2.67 x_{5} & -4.83 x_{20} & +  0.67 x_{78} & +  3.00 x_{155} & +  2.67 x_{6} & -0.33 x_{73}\\
 x_{210}   &  1.0 & +  2.17 x_{2} & -2.67 x_{5} & -4.83 x_{20} & +  0.67 x_{78} & +  3.00 x_{155} & +  2.67 x_{6} & -0.33 x_{73}\\
 x_{211}   &  2.86615176037e-12 & +  1.17 x_{2} & -0.67 x_{5} & -0.83 x_{20} & +  0.67 x_{78} & +  1.00 x_{155} & +  0.67 x_{6} & -0.33 x_{73}\\
 x_{212}   &  2.66742183896e-12 & +  0.50 x_{2} & -1.00 x_{5} & -1.50 x_{20} & +  0.00 x_{78} & +  1.00 x_{155} & +  1.00 x_{6} & -0.00 x_{73}\\
 x_{213}   &  2.0 & +  1.50 x_{2} & -3.00 x_{5} & -6.50 x_{20} & +  0.00 x_{78} & +  4.00 x_{155} & +  3.00 x_{6} & -0.00 x_{73}\\
 x_{214}   &  1.00000000001 & +  1.00 x_{2} & -2.00 x_{5} & -4.00 x_{20} & +  0.00 x_{78} & +  2.00 x_{155} & +  2.00 x_{6} & -0.00 x_{73}\\
 x_{215}   &  1.24944499191e-12 & +  0.50 x_{2} & -1.00 x_{5} & -1.50 x_{20} & +  0.00 x_{78} & +  1.00 x_{155} & +  1.00 x_{6} & -0.00 x_{73}\\
 x_{216}   &  0.999999999995 & +  0.50 x_{2} & -1.00 x_{5} & -2.50 x_{20} & -0.00 x_{78} & +  2.00 x_{155} & +  1.00 x_{6} & +  0.00 x_{73}\\
 x_{217}   &  1.10977893542e-12 & +  0.67 x_{2} & +  0.33 x_{5} & +  0.67 x_{20} & +  0.67 x_{78} & +  1.00 x_{155} & -0.33 x_{6} & -0.33 x_{73}\\
 x_{218}   &  1.00000000001 & +  2.17 x_{2} & -2.67 x_{5} & -4.83 x_{20} & +  0.67 x_{78} & +  3.00 x_{155} & +  2.67 x_{6} & -0.33 x_{73}\\
 x_{219}   &  1.00000000001 & +  1.00 x_{2} & -2.00 x_{5} & -4.00 x_{20} & +  0.00 x_{78} & +  2.00 x_{155} & +  2.00 x_{6} & -0.00 x_{73}\\
 x_{220}   &  1.00000000001 & +  2.17 x_{2} & -2.67 x_{5} & -4.83 x_{20} & +  0.67 x_{78} & +  3.00 x_{155} & +  2.67 x_{6} & -0.33 x_{73}\\
 x_{221}   &  1.00000000001 & +  2.17 x_{2} & -2.67 x_{5} & -4.83 x_{20} & +  0.67 x_{78} & +  3.00 x_{155} & +  2.67 x_{6} & -0.33 x_{73}\\
 x_{222}   &  1.00000000001 & +  1.00 x_{2} & -2.00 x_{5} & -4.00 x_{20} & +  0.00 x_{78} & +  2.00 x_{155} & +  2.00 x_{6} & -0.00 x_{73}\\
 x_{223}   &  1.00000000001 & +  1.00 x_{2} & -2.00 x_{5} & -4.00 x_{20} & +  0.00 x_{78} & +  2.00 x_{155} & +  2.00 x_{6} & -0.00 x_{73}\\
 x_{224}   &  1.00000000001 & +  2.17 x_{2} & -2.67 x_{5} & -4.83 x_{20} & +  0.67 x_{78} & +  3.00 x_{155} & +  2.67 x_{6} & -0.33 x_{73}\\
 x_{225}   &  1.00000000001 & +  1.00 x_{2} & -2.00 x_{5} & -4.00 x_{20} & +  0.00 x_{78} & +  2.00 x_{155} & +  2.00 x_{6} & -0.00 x_{73}\\
 x_{226}   &  1.00000000001 & +  2.17 x_{2} & -2.67 x_{5} & -4.83 x_{20} & +  0.67 x_{78} & +  3.00 x_{155} & +  2.67 x_{6} & -0.33 x_{73}\\
 x_{227}   &  1.00000000001 & +  2.17 x_{2} & -2.67 x_{5} & -4.83 x_{20} & +  0.67 x_{78} & +  3.00 x_{155} & +  2.67 x_{6} & -0.33 x_{73}\\
 x_{228}   &  1.00000000001 & +  1.00 x_{2} & -2.00 x_{5} & -4.00 x_{20} & +  0.00 x_{78} & +  2.00 x_{155} & +  2.00 x_{6} & -0.00 x_{73}\\
 x_{229}   &  1.00000000001 & +  1.00 x_{2} & -2.00 x_{5} & -4.00 x_{20} & +  0.00 x_{78} & +  2.00 x_{155} & +  2.00 x_{6} & -0.00 x_{73}\\
 x_{230}   &  1.00000000001 & +  2.17 x_{2} & -2.67 x_{5} & -4.83 x_{20} & +  0.67 x_{78} & +  3.00 x_{155} & +  2.67 x_{6} & -0.33 x_{73}\\
 x_{231}   &  1.00000000001 & +  2.17 x_{2} & -2.67 x_{5} & -4.83 x_{20} & +  0.67 x_{78} & +  3.00 x_{155} & +  2.67 x_{6} & -0.33 x_{73}\\
 x_{232}   &  1.00000000001 & +  2.17 x_{2} & -2.67 x_{5} & -4.83 x_{20} & +  0.67 x_{78} & +  3.00 x_{155} & +  2.67 x_{6} & -0.33 x_{73}\\
 x_{233}   &  1.00000000001 & +  1.00 x_{2} & -2.00 x_{5} & -4.00 x_{20} & +  0.00 x_{78} & +  2.00 x_{155} & +  2.00 x_{6} & -0.00 x_{73}\\
 x_{234}   &  1.00000000001 & +  1.00 x_{2} & -2.00 x_{5} & -4.00 x_{20} & +  0.00 x_{78} & +  2.00 x_{155} & +  2.00 x_{6} & -0.00 x_{73}\\
 x_{235}   &  1.00000000001 & +  1.00 x_{2} & -2.00 x_{5} & -4.00 x_{20} & +  0.00 x_{78} & +  2.00 x_{155} & +  2.00 x_{6} & -0.00 x_{73}\\
 x_{236}   &  1.00000000001 & +  1.00 x_{2} & -2.00 x_{5} & -4.00 x_{20} & +  0.00 x_{78} & +  2.00 x_{155} & +  2.00 x_{6} & -0.00 x_{73}\\
\hline
z    &  4.0 & +  0.00 x_{2} & -2.00 x_{5} & -1.00 x_{20} & +  0.00 x_{78} & +  0.00 x_{155} & +  0.00 x_{6} & -0.00 x_{73}\\
\end{array}\]
 Final answer: 4.000000 
Done.Added 224 cuts 
\end{document}
